{"text_format":"1","workbook":"xlsx","n_sheets":10,"sheets":["Instructions","L2-Classic ASHRAE Equation ","L2-Modified ASHRAE equation","L2-Alternative ASHRAE method","L3-Monthly method","L4-Hourly method","g-Function generator","Temperature penalty","Tables of thermal properties","Input parameters"],"not_rendered":{"charts":0,"images":81,"macros":1,"external_links":0,"defined_names":3,"comments":8,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Instructions","index":0,"n_rows":8,"n_cols":15,"rows_kept":8,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Unit system to be used>>","SI units"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"VERSION 1.0"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"April 2021"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"ASHRAE does not warrant nor guarantee the spreadsheet “GHXSizing.xls.\" The entire risk of the use of any information contained herein is assumed by the user"]

{"sheet":"L2-Classic ASHRAE Equation ","index":1,"n_rows":93,"n_cols":5,"rows_kept":93,"cut":false,"hidden":false,"merged":[]}
["L2-Classic ASHRAE Equation-INPUTS","SYMBOL","UNITS","VALUES"]
["Ground properties",null,"SI units"]
["ground thermal conductivity","kg","W/(m-K)",2.4]
["ground thermal diffusivity","α","m^2/day",0.10000000000000002]
["undisturbed ground temperature","Tg","°C",18.000000000000004]
["Fluid and heat pump properties"]
["fluid thermal conductivity","kf","W/(m-K)"]
["fluid dynamic viscosity","μf","kg/(m-s)"]
["fluid thermal heat capacity","Cp,f","J/(kg-K)",4186.7981879999998]
["fluid density","ρf","kg/m^3",911.78999998992651]
["total mass flow rate (for all boreholes)","mf","L/s",3.8879999999999999]
["max heat pump inlet temperature","TinHP,max","°C",30]
["min heat pump inlet temperature","TinHP,min","°C",0]
["Borehole characteristics"]
["borehole radius","rb","m",6.2499999999999993E-2]
[]
["Inside the borehole"]
["number of U-tubes","NU,pi","------",2]
["pipe inner radius","rpi,in","m"]
["pipe outer radius","rpi,ext","m"]
[]
[]
["pipe thermal conductivity","kpi","W/(m-K)"]
[]
[]
["grout thermal conductivity","kgr","W/(m-K)"]
["convection coefficient (for Rb estimation)","hconv","W/(m^2-K)"]
["center-to-center distance between pipes","LU","m"]
["contact resistance between pipes and grout","Rcont","m-K/W"]
["borehole thermal resistance","Rb","m-K/W",0.11]
[]
[]
["Borefield geometry"]
["          Rectangular location"]
["distance between boreholes","B","m",6.0000000000000009]
["number of boreholes in X direction","NBx","---",2]
["number of boreholes in Y direction","NBy","---",10]
[]
[]
[]
[]
["Calculation parameters"]
["initial guess of the length of each borehole","Hint","m",100]
["maximum number of iterations","Nitr","---",50]
[]
["convergence criteria","ε","%",0.1]
["Building load Parameters"]
["peak block heating load","qh,b","W",-47000]
["peak block cooling load","qc,b","W",72000]
[" heating annual equivalent full load hours ","EFLHh","hr",245]
["cooling annual equivalent full load hours ","EFLHc","hr",760]
["Heat pump parameters"]
["heat pump capcaity","Cap","W",72000]
["heat pump heating coefficient of performance","COPH","---",4.4000000000000004]
["heat pump cooling coefficient of performance","COPC","---",4.2]
["Ground load Parameters"]
[null,"qh,g","W",-36318.181818181816,"Sign convention:"]
[null,"qc,g","W",89142.857142857145,"-: heat extraction from the ground, +: heat injection to the ground"]
["net annual average heat transfer to the ground","qy","W",6177.8153353495827]
["part load factor during design month ","PLFm","---",0.28000000000000003]
["short circuit heat loss factor","Fsc","---",1.04]
["peak hourly load duration","th","hr",4]
[" monthly  load duration","tm","days",30]
["yearly load duration","ty","year(s)",10]
["Parameters required for Tp"]
["boreholes surrounded by 1 borehole","Nend","---",0]
["boreholes surrounded by 2 boreholes (including the ones on the corners)","Nm","---",0]
["boreholes located at the corner surrounded by 2 boreholes","Nc","---",4]
["boreholes located at the perimeter surrounded by 3 boreholes","Ns","---",16]
["boreholes surrounded by 4 boreholes","Nint","---",0]
["hollow cylinder increment spacing","Bc","m",1.5000000000000002]
["number of perimetry hollow cylinders","Npc","---",4]
[]
[]
[]
["Results in final iteration"]
["short term ground thermal resistance (hourly pulse)","Rh","m-K/W",0.09]
["medium term ground thermal resistance (monthly pulse)","Rm","m-K/W",0.16]
["long term ground thermal resistance  (yearly pulse)","Ry","m-K/W",0.16]
["heat pump outlet temperature","ToutHP","°C",36.01]
["average fluid temperature in the borehole","Tm","°C",33]
["length per borehole","H","m",85]
["total length","Ltot","m",1700]
[]
["Parameters","Rb","L (Tp)","ε"]
["Units","(m-K/W)","(m (°C))","%"]
["Iteration - 1",0.11,"100.0 (1.35)","---"]
["Iteration - 2",0.11,"83.5 (1.61)",19.704999999999998]
["Iteration - 3",0.11,"85.1 (1.58)",1.891]
["Iteration - 4",0.11,"85.0 (1.58)",0.22]
["Final iteration ",0.11,"85.0 (1.58)",2.5000000000000001E-2]
["qy*Ry %","qm*Rm %","qh*Rh %","qh*Rb %"]
[4.3,17.600000000000001,35,43]

{"sheet":"L2-Modified ASHRAE equation","index":2,"n_rows":74,"n_cols":8,"rows_kept":74,"cut":false,"hidden":false,"merged":[]}
["L2-ASHRAE modified equation-INPUTS","SYMBOL","UNITS","VALUES",null,null,"x","y"]
["Ground properties",null,"SI units",null,null,null,"(m)","(m)"]
["ground thermal conductivity","kg","W/(m-K)",2.4,null,null,0,0]
["ground thermal diffusivity","α","m^2/day",0.1,null,null,0,6]
["undisturbed ground temperature","Tg","°C",18,null,null,0,12]
["Fluid and heat pump properties",null,null,null,null,null,0,18]
["fluid thermal conductivity","kf","W/(m-K)",null,null,null,0,24]
["fluid dynamic viscosity","μf","kg/(m-s)",null,null,null,0,30]
["fluid thermal heat capacity","Cp,f","J/(kg-K)",4186.7981879999998,null,null,0,36]
["fluid density","ρf","kg/m^3",911.78999998992651,null,null,0,42]
["total mass flow rate (for all boreholes)","mf","L/s",3.8879999999999999,null,null,0,48]
["max heat pump inlet temperature","TinHP,max","°C",30,null,null,0,54]
["min heat pump inlet temperature","TinHP,min","°C",0,null,null,6,0]
["Borehole characteristics",null,null,null,null,null,6,6]
["borehole radius","rb","m",6.25E-2,null,null,6,12]
["borehole buried depth","Db","m",4,null,null,6,18]
["Inside the borehole",null,null,null,null,null,6,24]
["number of U-tubes","NU,pi","------",2,null,null,6,30]
["pipe inner radius","rpi,in","m",null,null,null,6,36]
["pipe outer radius","rpi,ext","m",null,null,null,6,42]
[null,null,null,null,null,null,6,48]
[null,null,null,null,null,null,6,54]
["pipe thermal conductivity","kpi","W/(m-K)"]
[]
[]
["grout thermal conductivity","kgr","W/(m-K)"]
["convection coefficient (for Rb estimation)","hconv","W/(m^2-K)"]
["center-to-center distance between pipes","LU","m"]
["contact resistance between pipes and grout","Rcont","m-K/W"]
["borehole thermal resistance","Rb","m-K/W",0.11]
[]
[]
["Borefield geometry"]
[]
["distance between boreholes","B","m",6,"Enter borehole spacing and the number of borehole in D35 to D37. "]
["number of boreholes in X direction","NBx","---",2,"Then save locations. "]
["number of boreholes in Y direction","NBy","---",10,"The positions will appear in G3->Gnb+2 and H3->Hnb+2 cells. "]
[]
[" total number of boreholes ","NB","---",20]
[]
[]
["Calculation parameters"]
["initial guess of the length of each borehole","Hint","m",100]
["maximum number of iterations","Nitr","---",50]
["number of segments per borehole","Nseg","---",1]
["convergence criteria","ε","%",0.1]
["Ground load Parameters"]
["peak hourly ground load","qh","W",89142.857142857145,"Sign convention:"]
[" monthly ground load","qm","W",24960.000000000004,"-: heat extraction from the ground, +: heat injection to the ground"]
["yearly average ground load","qy","W",6177.8153353495818]
["peak hourly load duration","th","hr",4]
[" monthly  load duration","tm","days",30]
["yearly load duration","ty","year(s)",10]
[]
[]
[]
["Results in final iteration"]
["short term ground thermal resistance (hourly pulse)","Rh","m-K/W",0.09]
["medium term ground thermal resistance (monthly pulse)","Rm","m-K/W",0.16]
["long term ground thermal resistance  (yearly pulse)","Ry","m-K/W",0.16]
["heat pump outlet temperature","ToutHP","°C",36.01]
["average fluid temperature in the borehole","Tm","°C",33]
["length per borehole","H","m",89]
["total length","Ltot","m",1780]
[]
["Parameters","Rb","L (Tp)","ε"]
["Units","(m-K/W)","(m (°C))","%"]
["Iteration - 1",0.11,"100.0 (2.15)","---"]
["Iteration - 2",0.11,"87.6 (2.40)",14.214]
["Iteration - 3",0.11,"89.2 (2.36)",1.895]
["Iteration - 4",0.11,"89.0 (2.37)",0.28599999999999998]
["Final iteration ",0.11,"89.0 (2.37)",4.2000000000000003E-2]
["qy*Ry %","qm*Rm %","qh*Rh %","qh*Rb %"]
[4.4000000000000004,17.899999999999999,34.200000000000003,43.6]

{"sheet":"L2-Alternative ASHRAE method","index":3,"n_rows":72,"n_cols":8,"rows_kept":72,"cut":false,"hidden":false,"merged":[]}
["L2-Alternative method-INPUTS","SYMBOL","UNITS","VALUES",null,null,"x","y"]
["Ground properties",null,"SI units",null,null,null,"(m)","(m)"]
["ground thermal conductivity","kg","W/(m-K)",3.34,null,null,0,0]
["ground thermal diffusivity","α","m^2/day",9.6767999999999993E-2,null,null,0,5]
["undisturbed ground temperature","Tg","°C",10,null,null,5,0]
["Fluid and heat pump properties",null,null,null,null,null,5,5]
["fluid thermal conductivity","kf","W/(m-K)",null,null,null,10,0]
["fluid dynamic viscosity","μf","kg/(m-s)",null,null,null,10,5]
["fluid thermal heat capacity","Cp,f","J/(kg-K)",4186.7981879999998]
["fluid density","ρf","kg/m^3",911.78999998992651]
["total mass flow rate (for all boreholes)","mf","L/s",2.8814814814814818]
["max heat pump inlet temperature","TinHP,max","°C",32]
["min heat pump inlet temperature","TinHP,min","°C",0]
["Borehole characteristics"]
["borehole radius","rb","m",0.05]
["borehole buried depth","Db","m",4]
["Inside the borehole"]
["number of U-tubes","NU,pi","------",2]
["pipe inner radius","rpi,in","m"]
["pipe outer radius","rpi,ext","m"]
["pipe density","ρpi","kg/m^3"]
["pipe heat capacity","Cp,pi","J/(kg-K)"]
["pipe thermal conductivity","kpi","W/(m-K)"]
["grout density","ρgr","kg/m^3"]
["grout heat capacity","Cp,gr","J/(kg-K)"]
["grout thermal conductivity","kgr","W/(m-K)"]
["convection coefficient (for Rb estimation)","hconv","W/(m^2-K)"]
["center-to-center distance between pipes","LU","m"]
["contact resistance between pipes and grout","Rcont","m-K/W"]
["borehole thermal resistance","Rb","m-K/W",0.1]
[]
[]
["Borefield geometry"]
[]
["distance between boreholes","B","m",5,"Enter borehole spacing and the number of borehole in D35 to D37. "]
["number of boreholes in X direction","NBx","---",3,"Then save locations. "]
["number of boreholes in Y direction","NBy","---",2,"The positions will appear in G3->Gnb+2 and H3->Hnb+2 cells. "]
[]
[" total number of boreholes ","NB","---"]
[]
[]
["Calculation parameters"]
["initial guess of the length of each borehole","Hint","m",100]
["maximum number of iterations","Nitr","---",50]
["number of segments per borehole","Nseg","---",1]
["convergence criteria","ε","%",0.1]
["Ground load parameters"]
["peak hourly ground load","qh","W",66000,"Sign convention:"]
[" monthly ground load","qm","W",19800,"-: heat extraction from the ground, +: heat injection to the ground"]
["yearly average ground load","qy","W",3000]
["peak hourly load duration","th","hr",6]
[" monthly  load duration","tm","days",30]
["yearly load duration","ty","year(s)",10]
[]
[]
[]
["Results in final iteration"]
["short term ground thermal resistance (hourly pulse)","Rgh","m-K/W",7.0000000000000007E-2]
["medium term ground thermal resistance (monthly pulse)","Rgm","m-K/W",0.12]
["long term ground thermal resistance  (yearly pulse)","Rgy","m-K/W",0.4]
["heat pump outlet temperature","ToutHP","°C",38]
["average fluid temperature in the borehole","Tm","°C",35]
["length per borehole","H","m",99.8]
["total length","Ltot","m",598.79999999999995]
[]
["Parameters","Rb","L","ε"]
["Units","(m-K/W)","(m)","%"]
["Iteration - 1",0.1,100,"---"]
["Iteration - 2",0.1,99.8,0.24199999999999999]
["Final iteration",0.1,99.8,3.0000000000000001E-3]
["qy*Rgy %","qm*Rgm %","qh*Rgh %","qh*Rb %"]
[8.1,15.2,32.6,44.1]

{"sheet":"L3-Monthly method","index":4,"n_rows":242,"n_cols":18,"rows_kept":242,"cut":false,"hidden":false,"merged":[[0,9,0,10],[0,11,0,12],[0,13,0,14]]}
["L3-A monthly method-INPUTS","SYMBOL","UNITS","VALUES","Enter ground loads in cells J3 to O14.",null,"x","y",null,"Monthly load",null,"Heating load",null,"Cooling load",null,"mth.","Tin,hp,min","Tin,hp,max"]
["Ground properties",null,"SI units",null,"-: heat extraction from the ground, +: heat injection to the ground",null,"(m)","(m)","Month","qm (W)","tm (hr)","qh,H (W)","th,H (hr)","qh,C (W)","th,C (hr)","---","(°C)","(°C)"]
["ground thermal conductivity","kg","W/(m-K)",1.9,null,null,0,0,1,-7938.047492606227,744,-64945.756823821343,6,35770.103626943004,6,1,9.292089006743808,17.369254489274589]
["ground thermal diffusivity","α","m^2/day",0.08,null,null,0,8,2,-3784.2277271867324,672,-60735.334987593051,6,53548.13471502591,6,2,9.813963154459092,18.979217689092238]
["undisturbed ground temperature","Tg","°C",15,null,null,0,16,3,8085.1932268598885,744,-43517.717121588088,6,83085.854922279788,6,3,11.922206538758378,22.075503124828185]
["Fluid and heat pump properties",null,null,null,null,null,0,24,4,21107.377744956859,720,-37848.684863523573,6,93548.70466321244,6,4,13.293964418307544,23.831713432514068]
["fluid thermal conductivity","kf","W/(m-K)",0.46800000000000003,null,null,0,32,5,35048.102958382093,744,0,0,120782.33160621762,6,5,20.647923013996103,27.101909534965358]
["fluid dynamic viscosity","μf","kg/(m-s)",3.3700000000000002E-3,null,null,8,0,6,43665.645077720161,720,0,0,130892.64248704663,6,6,22.246510327152773,28.716529444031369]
["fluid thermal heat capacity","Cp,f","J/(kg-K)",4019,null,null,8,8,7,46982.978438910221,744,0,0,139731.29533678756,6,7,23.065349433667752,29.938251651524155]
["fluid density","ρf","kg/m^3",1026,null,null,8,16,8,44388.707379241241,744,0,0,131761.39896373058,6,8,22.953649072028913,29.426652826092493]
["total mass flow rate (for all boreholes)","mf","L/s",10.078064327485379,null,null,8,24,9,34677.810233160635,720,0,0,111780,6,9,21.664819635646666,27.430993023575848]
["max heat pump inlet temperature","TinHP,max","°C",38,null,null,8,32,10,18685.743093334324,744,-5736.6997518610424,6,97338.497409326432,6,10,17.122164257515454,25.388542769193847]
["min heat pump inlet temperature","TinHP,min","°C",0,null,null,16,0,11,2982.9387409626429,720,-42314.739454094291,6,52843.056994818653,6,11,13.203621716701377,20.83504407094506]
["Borehole characteristics",null,null,null,null,null,16,8,12,-5852.6302133339814,744,-57209.106699751857,6,34284.404145077722,6,12,11.350010460736918,18.687566078729013]
["borehole radius","rb","m",7.4999999999999997E-2,null,null,16,16,null,null,null,null,null,null,null,13,10.482795740396782,18.559961222927562]
["borehole buried depth","Db","m",4,null,null,16,24,null,null,null,null,null,null,null,14,10.989439485577481,20.154694020210627]
["Inside the borehole",null,null,null,null,null,16,32,null,null,null,null,null,null,null,15,13.075960346403221,23.229256932473032]
["number of U-tubes","NU,pi","------",2,null,null,24,0,null,null,null,null,null,null,null,16,14.415328252069864,24.953077266276388]
["pipe inner radius","rpi,in","m",1.2999999999999999E-2,null,null,24,8,null,null,null,null,null,null,null,17,21.73481731076506,28.188803831734315]
["pipe outer radius","rpi,ext","m",1.67E-2,null,null,24,16,null,null,null,null,null,null,null,18,23.318886740725372,29.788905857603968]
["pipe density","ρpi","kg/m^3",1000,null,null,24,24,null,null,null,null,null,null,null,19,24.118746059756841,30.991648277613244]
["pipe heat capacity","Cp,pi","J/(kg-K)",1540,null,null,24,32,null,null,null,null,null,null,null,20,23.986461996269412,30.459465750332992]
["pipe thermal conductivity","kpi","W/(m-K)",0.4,null,null,32,0,null,null,null,null,null,null,null,21,22.692446864590501,28.458620252519683]
["grout density","ρgr","kg/m^3",1000,null,null,32,8,null,null,null,null,null,null,null,22,18.136695838051384,26.403074349729778]
["grout heat capacity","Cp,gr","J/(kg-K)",3900,null,null,32,16,null,null,null,null,null,null,null,23,14.181265085222403,21.812687439466085]
["grout thermal conductivity","kgr","W/(m-K)",0.69,null,null,32,24,null,null,null,null,null,null,null,24,12.278844201411378,19.616399819403469]
["convection coefficient (for Rb estimation)","hconv","W/(m^2-K)",1000,null,null,32,32,null,null,null,null,null,null,null,25,11.366219120598604,19.443384603129385]
["center-to-center distance between pipes","LU","m",8.3000000000000004E-2,null,null,null,null,null,null,null,null,null,null,null,26,11.852917945472495,21.01817248010564]
["contact resistance between pipes and grout","Rcont","m-K/W",0,null,null,null,null,null,null,null,null,null,null,null,27,13.93798201320644,24.091278599276247]
["borehole thermal resistance","Rb","m-K/W",0.2,null,null,null,null,null,null,null,null,null,null,null,28,15.286923487838402,25.824672502044926]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,29,22.6206081937165,29.074594714685755]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,30,24.215724712045077,30.68574382892367]
["Borefield geometry",null,null,null,null,null,null,null,null,null,null,null,null,null,null,31,25.015450729979221,31.888352947835628]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,32,24.866041846887157,31.339045600950737]
["distance between boreholes","B","m",8,"Enter borehole spacing and the number of borehole in D35 to D37. ",null,null,null,null,null,null,null,null,null,null,33,23.540883585775322,29.307056973704505]
["number of boreholes in X direction","NBx","---",5,"Then save locations. ",null,null,null,null,null,null,null,null,null,null,34,18.947715635350175,27.214094147028572]
["number of boreholes in Y direction","NBy","---",5,"The positions will appear in G3->Gnb+2 and H3->Hnb+2 cells. ",null,null,null,null,null,null,null,null,null,null,35,14.964067556506777,22.595489910750459]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,13.034484257784772,20.372039875776863]
[" total number of boreholes ","NB","---",25,null,null,null,null,null,null,null,null,null,null,null,37,12.09034450132495,20.16750998385573]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38,12.552933157979979,21.718187692613121]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,39,14.622121925698618,24.775418511768425]
["Calculation parameters",null,null,null,null,null,null,null,null,null,null,null,null,null,null,40,15.966837224981971,26.504586239188495]
["initial guess of the length of each borehole/ the length of each borehole in simulation","Hint, H","m",100,null,null,null,null,null,null,null,null,null,null,null,41,23.308023521890043,29.762010042859298]
["maximum number of iterations","Nitr","---",50,null,null,null,null,null,null,null,null,null,null,null,42,24.917517285349334,31.38753640222793]
["number of segments per borehole","Nseg","---",1,null,null,null,null,null,null,null,null,null,null,null,43,25.735000842196069,32.607903060052472]
["convergence criteria","ε","%",0.1,null,null,null,null,null,null,null,null,null,null,null,44,25.601439513743582,32.074443267807169]
["yearly load duration","ty","year(s)",20,null,null,null,null,null,null,null,null,null,null,null,45,24.284331632318413,30.050505020247595]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,46,19.687106397716594,27.953484909394991]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,47,15.687967932198323,23.319390286442005]
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["Parameters","Rb","L","ε",null,null,null,null,null,null,null,null,null,null,null,51,15.276807049162425,25.430103635232232]
["Units","(m-K/W)","(m)","(%)",null,null,null,null,null,null,null,null,null,null,null,52,16.607288075052555,27.14503708925908]
["Iteration - 1",0.2,100,"---",null,null,null,null,null,null,null,null,null,null,null,53,23.934402148403596,30.388388669372851]
["Iteration - 2",0.2,50,50,null,null,null,null,null,null,null,null,null,null,null,54,25.530854652085239,32.000873768963835]
["Iteration - 3",0.2,200,50,null,null,null,null,null,null,null,null,null,null,null,55,26.335421165669054,33.20832338352546]
["Iteration - 4",0.2,400,50,null,null,null,null,null,null,null,null,null,null,null,56,26.189476052580432,32.662479806644015]
["Iteration - 5",0.2,150,33.33,null,null,null,null,null,null,null,null,null,null,null,57,24.860861079856701,30.627034467785883]
["Iteration - 6",0.2,125,33.33,null,null,null,null,null,null,null,null,null,null,null,58,20.252209259264259,28.518587770942652]
["Iteration - 7",0.2,137.5,20,null,null,null,null,null,null,null,null,null,null,null,59,16.242436238794788,23.87385859303847]
["Iteration - 8",0.2,131.30000000000001,9.09,null,null,null,null,null,null,null,null,null,null,null,60,14.277671106923989,21.615226724916084]
["Iteration - 9",0.2,128.1,4.76,null,null,null,null,null,null,null,null,null,null,null,61,13.303831087478311,21.380996570009092]
["Iteration - 10",0.2,126.6,2.44,null,null,null,null,null,null,null,null,null,null,null,62,13.74484511610466,22.910099650737806]
["Iteration - 11",0.2,125.8,1.23,null,null,null,null,null,null,null,null,null,null,null,63,15.796795418156201,25.950092004226011]
["Iteration - 12",0.2,126.2,0.62,null,null,null,null,null,null,null,null,null,null,null,64,17.13208961614464,27.669838630351165]
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["Iteration - 14",0.2,125.9,0.16,null,null,null,null,null,null,null,null,null,null,null,66,26.077994388917389,32.548013505795986]
["Final iteration",0.2,125.9,0.08,null,null,null,null,null,null,null,null,null,null,null,67,26.895052724846991,33.767954942703398]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,196,20.82442230899084,31.362171323197362]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,197,28.129238094630715,34.583224615599974]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,198,29.709860756330375,36.179879873208975]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,199,30.501633722363682,37.374535940220085]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,200,30.342636597368362,36.815640351431945]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,201,28.99691261271898,34.763086000648165]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,202,24.363959309513195,32.630337821191596]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,203,20.32431456736667,27.955736921610352]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,204,18.326260984778138,25.663816602770233]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,205,17.317515153988627,25.394680636519407]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,206,17.725667871796002,26.890922406429148]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,207,19.740670474906871,29.893967060976681]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,208,21.041054735929286,31.578803750135808]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,209,28.344779925982877,34.798766446952136]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,210,29.92435757754011,36.39437669441871]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,211,30.715061292456813,37.587963510313216]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,212,30.555005524192325,37.028009278255908]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,213,29.20826699815894,34.974440386088126]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,214,24.574275469428702,32.840653981107103]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,215,20.533635659151265,28.165058013394948]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,216,18.534563683717693,25.872119301709787]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,217,17.524809321907181,25.601974804437962]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,218,17.932059466278542,27.097314000911688]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,219,19.94607191605413,30.099368502123941]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,220,21.245506968386842,31.783255982593364]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,221,28.548260482574044,35.002247003543303]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,222,30.126906556564226,36.596925673442826]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,223,30.916656560629868,37.789558778486274]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,224,30.755656020938808,37.228659775002392]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,225,29.408011593644495,35.174184981573681]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,226,24.773092520862388,33.039471032540789]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,227,20.731563252950217,28.362985607193899]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,228,18.731580493884884,26.069136111876979]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,229,17.720923692470645,25.798089175001426]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,230,18.127365806985775,27.292620341618921]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,231,20.140491384097274,30.293787970167084]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,232,21.439075808188804,31.976824822395333]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,233,28.740958124612582,35.194944645581842]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,234,30.318768538516597,36.788787655395197]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,235,31.107662607782085,37.980564825638488]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,236,30.945813736621318,37.418817490684901]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,237,29.597355487752374,35.36352887568156]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,238,24.961602752047714,33.227981263726114]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,239,20.919273673818594,28.550696028062276]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,240,18.918471543176281,26.256027161168376]

{"sheet":"L4-Hourly method","index":5,"n_rows":8762,"n_cols":12,"rows_kept":4500,"cut":true,"hidden":false,"merged":[],"bounds":{"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0}}
["L4-An hourly method-INPUTS","SYMBOL","UNITS","VALUES","Enter ground loads in cells J3 to J8762.",null,"x","y","Time","Ground hourly load","TfYr=1","TfYr=20"]
["Ground properties",null,"SI units",null,"-: heat extraction from the ground, +: heat injection to the ground",null,"(m)","(m)","th,H (hr)","qh,H (W)","(°C)","(°C)"]
["ground thermal conductivity","kg","W/(m-K)",1.9,null,null,0,0,1,0,15,23.839186433383375]
["ground thermal diffusivity","α","m^2/day",0.08,null,null,0,8,2,0,15,23.833121267650242]
["undisturbed ground temperature","Tg","°C",15,null,null,0,16,3,-2548.8089330024814,14.842591767587049,23.670909683059744]
["Fluid and heat pump properties",null,null,null,null,null,0,24,4,-5105.1364764267992,14.667237296282787,23.491589840973823]
["fluid thermal conductivity","kf","W/(m-K)",0.46800000000000003,null,null,0,32,5,-6608.8585607940449,14.545086102861893,23.366150388422877]
["fluid dynamic viscosity","μf","kg/(m-s)",3.3700000000000002E-3,null,null,8,0,6,-7917.0967741935483,14.433356127838874,23.251672899495123]
["fluid thermal heat capacity","Cp,f","J/(kg-K)",4019,null,null,8,8,7,-41976.401985111661,12.298243714733017,21.114204270791376]
["fluid density","ρf","kg/m^3",1026,null,null,8,16,8,-35480.322580645159,12.441776101457595,21.255680808413352]
["total mass flow rate (for all boreholes)","mf","L/s",10.078064327485379,null,null,8,24,9,-27239.925558312654,12.818730198895228,21.630831233616551]
["max heat pump inlet temperature","TinHP,max","°C",38,null,null,8,32,10,-21360.372208436725,13.133903830207286,21.944427527725662]
["min heat pump inlet temperature","TinHP,min","°C",0,null,null,16,0,11,-18285.260545905709,13.318001118131912,22.127149765158432]
["Borehole characteristics",null,null,null,null,null,16,8,12,-16074.789081885856,13.458262901425524,22.274970967887466]
["borehole radius","rb","m",7.4999999999999997E-2,null,null,16,16,13,-14443.250620347395,13.568282149414285,22.383094001190656]
["borehole buried depth","Db","m",4,null,null,16,24,14,-12713.970223325063,13.686924967668002,22.500104745387169]
["Inside the borehole",null,null,null,null,null,16,32,15,-12240.297766749381,13.731507305371053,22.543208398455775]
["number of U-tubes","NU,pi","------",2,null,null,24,0,16,-12631.265508684863,13.717469603781014,22.527875372642001]
["pipe inner radius","rpi,in","m",1.2999999999999999E-2,null,null,24,8,17,-14826.699751861042,13.584172818290186,22.393440503563173]
["pipe outer radius","rpi,ext","m",1.67E-2,null,null,24,16,18,-19270.198511166254,13.294890112306442,22.103153256498082]
[null,null,null,1000,null,null,24,24,19,-23285.1364764268,13.005142761923167,21.812515561689821]
[null,null,null,1540,null,null,24,32,20,-27330.148883374688,12.69753096118238,21.504111666762544]
["pipe thermal conductivity","kpi","W/(m-K)",0.4,null,null,32,0,21,0,14.314449063362163,23.12032266631925]
[null,null,null,1000,null,null,32,8,22,-1218.0148883374691,14.373334314447485,23.17857469606361]
[null,null,null,3900,null,null,32,16,23,-6270.5210918114144,14.135690003524342,22.940361669084673]
["grout thermal conductivity","kgr","W/(m-K)",0.69,null,null,32,24,24,-8917.0719602977661,14.003354846638025,22.807492882742018]
["convection coefficient (for Rb estimation)","hconv","W/(m^2-K)",1000,null,null,32,32,25,-10744.094292803969,13.885653157014614,22.689303935082716]
["center-to-center distance between pipes","LU","m",8.3000000000000004E-2,null,null,null,null,26,-12277.890818858559,13.778334548791292,22.581542936967903]
["contact resistance between pipes and grout","Rcont","m-K/W",0,null,null,null,null,27,-13789.131513647642,13.66685519776089,22.469669004151754]
["borehole thermal resistance","Rb","m-K/W",0.2,null,null,null,null,28,-15360.521091811413,13.546471040130124,22.34892732855063]
[null,null,null,null,null,null,null,null,29,-16405.607940446651,13.454398361368517,22.256528331547912]
[null,null,null,null,null,null,null,null,30,-17330.397022332505,13.369992836527478,22.171824316698419]
["Borefield geometry",null,null,null,null,null,null,null,31,-54171.588089330027,11.067270337680355,19.868828197032371]
[null,null,null,null,null,null,null,null,32,-50239.354838709674,11.035575854278839,19.836882322969203]
["distance between boreholes","B","m",8,"Enter borehole spacing and the number of borehole in D35 to D37. ",null,null,null,33,-41014.019851116624,11.444017809965681,20.245092686737813]
["number of boreholes in X direction","NBx","---",5,"Then save locations. ",null,null,null,34,-31209.751861042183,11.987162659547106,20.78802386729306]
["number of boreholes in Y direction","NBy","---",5,"The positions will appear in G3->Gnb+2 and H3->Hnb+2 cells. ",null,null,null,35,-22232.531017369725,12.550967848624671,21.351631497513232]
[null,null,null,null,null,null,null,null,36,-14134.987593052108,13.097838278555633,21.898318863806008]
[" total number of boreholes ","NB","---",25,null,null,null,null,37,-7917.0967741935483,13.563771507465061,22.364082082008739]
[null,null,null,null,null,null,null,null,38,-2248.0645161290322,14.007811932875477,22.807964258584896]
[null,null,null,null,null,null,null,null,39,-30.074441687344912,14.246716282639651,23.046713899374975]
["Calculation parameters",null,null,null,null,null,null,null,40,-45.111662531017366,14.332502524753524,23.132354319875063]
["initial guess of the length of each borehole/ the length of each borehole in simulation","Hint, H","m",100,null,null,null,null,41,-1496.2034739454093,14.307382787662386,23.107097585281565]
["maximum number of iterations","Nitr","---",50,null,null,null,null,42,-6646.4516129032254,14.030160406573586,22.829746174886999]
["number of segments per borehole","Nseg","---",1,null,null,null,null,43,-12195.186104218361,13.687050240662931,22.486514174028922]
["convergence criteria","ε","%",0.1,null,null,null,null,44,-17939.404466501241,13.300360454374704,22.09970904638681]
["yearly load duration","ty","year(s)",20,null,null,null,null,45,0,14.350774996753204,23.150014105444743]
[null,null,null,null,null,null,null,null,46,0,14.436161533636181,23.235296439788634]
[null,null,null,null,null,null,null,null,47,-7.518610421836228,14.491113579221247,23.290149038612782]
[null,null,null,null,null,null,null,null,48,-1571.3895781637716,14.444097958036997,23.27054340204625]
[null,null,null,null,null,null,null,null,49,-3420.9677419354839,14.349815428692132,23.174896986517417]
[null,null,null,null,null,null,null,null,50,-5210.3970223325059,14.245350262812904,23.069162823754041]
["Parameters","Rb","L","ε",null,null,null,null,51,-6661.4888337468983,14.151536216842702,22.974162150054937]
["Units","(m-K/W)","(m)","(%)",null,null,null,null,52,-7691.5384615384619,14.077873327197416,22.899389498708572]
["Iteration - 1",0.2,100,"---",null,null,null,null,53,-8563.6972704714644,14.012141327561048,22.832618218700542]
["Iteration - 2",0.2,50,50,null,null,null,null,54,-8969.7022332506203,13.974285561229888,22.793787296837575]
["Iteration - 3",0.2,200,50,null,null,null,null,55,-41510.248138957817,11.953532210597201,20.772117276726529]
["Iteration - 4",0.2,400,50,null,null,null,null,56,-32886.401985111661,12.255111004077378,21.072832859373619]
["Iteration - 5",0.2,150,33.33,null,null,null,null,57,-23976.848635235732,12.708554595188813,21.525462202133312]
["Iteration - 6",0.2,125,33.33,null,null,null,null,58,-15014.665012406947,13.245378115012965,22.061516403376139]
["Iteration - 7",0.2,112.5,20,null,null,null,null,59,-7902.0595533498754,13.725059058031844,22.540469330697469]
["Iteration - 8",0.2,118.8,11.11,null,null,null,null,60,-766.89826302729523,14.231215997006919,23.045936286582766]
["Iteration - 9",0.2,121.9,5.26,null,null,null,null,61,0,14.369437130966588,23.183502514187246]
["Iteration - 10",0.2,123.4,2.56,null,null,null,null,62,0,14.436797277195337,23.250240152979217]
["Iteration - 11",0.2,124.2,1.27,null,null,null,null,63,0,14.486053945660776,23.298895220391739]
["Iteration - 12",0.2,123.8,0.63,null,null,null,null,64,125.90673575129534,14.531671250707259,23.343944085117691]
["Iteration - 13",0.2,123.6,0.32,null,null,null,null,65,0,14.555801698123677,23.367531992085574]
["Iteration - 14",0.2,123.7,0.16,null,null,null,null,66,0,14.581547296507644,23.392759098904559]
["Final iteration",0.2,123.7,0.08,null,null,null,null,67,0,14.60367900340229,23.414394669701093]
[null,null,null,null,null,null,null,null,68,-2097.6923076923076,14.493473828916692,23.303714162715799]
[null,null,null,null,null,null,null,null,69,0,14.625316151895241,23.435100532355786]
[null,null,null,null,null,null,null,null,70,0,14.644892740930189,23.454239237736772]
[null,null,null,null,null,null,null,null,71,0,14.660698552085256,23.469624029362869]
[null,null,null,null,null,null,null,null,72,0,14.661554241280291,23.485792718138455]
[null,null,null,null,null,null,null,null,73,0,14.674274410588225,23.49721759274685]
[null,null,null,null,null,null,null,null,74,0,14.685802475711027,23.507538824898191]
[null,null,null,null,null,null,null,null,75,0,14.696459492255057,23.517096084034016]
[null,null,null,null,null,null,null,null,76,0,14.706186595702768,23.525800903547065]
[null,null,null,null,null,null,null,null,77,0,14.715150199495136,23.533805913685683]
[null,null,null,null,null,null,null,null,78,0,14.723495419718367,23.541250199847646]
[null,null,null,null,null,null,null,null,79,-20495.732009925559,13.465493802112745,22.282399995413975]
[null,null,null,null,null,null,null,null,80,-16743.945409429281,13.563871771968662,22.37997697579468]
[null,null,null,null,null,null,null,null,81,-10353.126550868486,13.896588216198303,22.71193565499058]
[null,null,null,null,null,null,null,null,82,-5458.5111662531017,14.195308773650259,23.009938218693065]
[null,null,null,null,null,null,null,null,83,-1887.1712158808932,14.442255780523492,23.256203686723754]
[null,null,null,null,null,null,null,null,84,0,14.597000384416855,23.410300235151677]
[null,null,null,null,null,null,null,null,85,0,14.634713488979704,23.447396097502093]
[null,null,null,null,null,null,null,null,86,0,14.661545972508559,23.47363974631628]
[null,null,null,null,null,null,null,null,87,0,14.68181236422868,23.493329827627953]
[null,null,null,null,null,null,null,null,88,0,14.697801328511774,23.508754525542486]
[null,null,null,null,null,null,null,null,89,0,14.711266716982086,23.521678681585936]
[null,null,null,null,null,null,null,null,90,-864.6401985111662,14.66948203221906,23.4793741500404]
[null,null,null,null,null,null,null,null,91,-5150.2481389578161,14.409089891142896,23.218482044969686]
[null,null,null,null,null,null,null,null,92,-8608.8089330024814,14.171213389804649,22.980124089457707]
[null,null,null,null,null,null,null,null,93,0,14.664301638275751,23.47274813689954]
[null,null,null,null,null,null,null,null,94,0,14.697371292018138,23.505369690445619]
[null,null,null,null,null,null,null,null,95,0,14.718070552454137,23.525635893083049]
[null,null,null,null,null,null,null,null,96,0,14.73584796924983,23.52885243419874]
[null,null,null,null,null,null,null,null,97,0,14.746912337670151,23.540734238774007]
[null,null,null,null,null,null,null,null,98,-15.037220843672456,14.755510527647983,23.550060398252857]
[null,null,null,null,null,null,null,null,99,-879.67741935483866,14.710166224921428,23.505346572435055]
[null,null,null,null,null,null,null,null,100,-2511.2158808933004,14.610378416211807,23.406114293521853]
[null,null,null,null,null,null,null,null,101,-4187.8660049627788,14.497889408293961,23.294117739162147]
[null,null,null,null,null,null,null,null,102,-5375.8064516129034,14.408295724341539,23.204959906737855]
[null,null,null,null,null,null,null,null,103,-36179.553349875932,12.487339855128276,21.284388963757245]
[null,null,null,null,null,null,null,null,104,-30518.039702233251,12.612865393295166,21.410253720770957]
[null,null,null,null,null,null,null,null,105,-22676.129032258064,12.98432920044295,21.782016318546699]
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[null,null,null,null,null,null,null,null,8682,604.3523316062176,16.152642408730348,23.857588639954649]
[null,null,null,null,null,null,null,null,8683,0,16.103114325584365,23.807818788937773]
[null,null,null,null,null,null,null,null,8684,0,16.094476746480229,23.798951294397583]
[null,null,null,null,null,null,null,null,8685,0,16.090265885374315,23.794521523354199]
[null,null,null,null,null,null,null,null,8686,0,16.088215950375272,23.792262911578138]
[null,null,null,null,null,null,null,null,8687,0,16.087438182554195,23.791285994632627]
[null,null,null,null,null,null,null,null,8688,0,16.091369745953006,23.790764302983636]
[null,null,null,null,null,null,null,null,8689,0,16.0915972593587,23.791056085598861]
[null,null,null,null,null,null,null,null,8690,0,16.091993413944554,23.791504154940565]
[null,null,null,null,null,null,null,null,8691,0,16.092618392856327,23.792158997374269]
[null,null,null,null,null,null,null,null,8692,-7.518610421836228,16.092929935961635,23.792488895900362]
[null,null,null,null,null,null,null,null,8693,-616.52605459057077,16.056200370168185,23.755770166995326]
[null,null,null,null,null,null,null,null,8694,-1323.2754342431761,16.009351532293866,23.708925664912673]
[null,null,null,null,null,null,null,null,8695,-1608.9826302729527,15.98500990799057,23.684582766810049]
[null,null,null,null,null,null,null,null,8696,-26149.7270471464,14.463038675732951,22.162605241121948]
[null,null,null,null,null,null,null,null,8697,-19089.751861042183,14.726242661912128,22.425797894923274]
[null,null,null,null,null,null,null,null,8698,-13962.059553349876,14.974831152442002,22.674371433658774]
[null,null,null,null,null,null,null,null,8699,-8533.6228287841186,15.290078224773156,22.989600420566838]
[null,null,null,null,null,null,null,null,8700,-4187.8660049627788,15.577657854792404,23.277159251663548]
[null,null,null,null,null,null,null,null,8701,-1624.0198511166252,15.769476319148703,23.468954567758473]
[null,null,null,null,null,null,null,null,8702,-30.074441687344912,15.904862379997452,23.604315447311702]
[null,null,null,null,null,null,null,null,8703,0,15.941870780944948,23.641301044415673]
[null,null,null,null,null,null,null,null,8704,0,15.966263712931628,23.665672411319473]
[null,null,null,null,null,null,null,null,8705,0,15.984188822178437,23.683574494624878]
[null,null,null,null,null,null,null,null,8706,0,15.998331008779038,23.697692384525304]
[null,null,null,null,null,null,null,null,8707,0,16.009899627891045,23.709235603045464]
[null,null,null,null,null,null,null,null,8708,0,16.019571542055587,23.718881159405548]
[null,null,null,null,null,null,null,null,8709,0,16.027813007274951,23.727095438707536]
[null,null,null,null,null,null,null,null,8710,0,16.034630088648679,23.733884619812024]
[null,null,null,null,null,null,null,null,8711,0,16.040637918136767,23.739863935031039]
[null,null,null,null,null,null,null,null,8712,0,16.013874395381372,23.752851940342946]
[null,null,null,null,null,null,null,null,8713,0,16.018623420618383,23.75685563624841]
[null,null,null,null,null,null,null,null,8714,0,16.022967806285081,23.76048102383529]
[null,null,null,null,null,null,null,null,8715,0,16.027029526142595,23.76389327843458]
[null,null,null,null,null,null,null,null,8716,0,16.030818597481762,23.767056806657997]
[null,null,null,null,null,null,null,null,8717,0,16.034351914678481,23.769984417210146]
[null,null,null,null,null,null,null,null,8718,0,16.037660901515615,23.772706371451385]
[null,null,null,null,null,null,null,null,8719,0,16.040772670425579,23.775248738525363]
[null,null,null,null,null,null,null,null,8720,0,16.043709796452035,23.777633272289478]
[null,null,null,null,null,null,null,null,8721,0,16.046491241514456,23.779878549840767]
[null,null,null,null,null,null,null,null,8722,0,16.049133155099266,23.781999262164739]
[null,null,null,null,null,null,null,null,8723,-10157.642679900744,15.424337939131542,23.156697140568927]
[null,null,null,null,null,null,null,null,8724,-6383.3002481389576,15.58986222893405,23.32172821003795]
[null,null,null,null,null,null,null,null,8725,-5067.5434243176178,15.652533247465376,23.383919090317143]
[null,null,null,null,null,null,null,null,8726,-3969.8263027295284,15.713794098749986,23.444712327150981]
[null,null,null,null,null,null,null,null,8727,-4894.6153846153848,15.65792652990236,23.388386122038078]
[null,null,null,null,null,null,null,null,8728,-6067.5186104218365,15.577773890917685,23.307781162947336]
[null,null,null,null,null,null,null,null,8729,-6646.4516129032254,15.5278871396107,23.257453323717865]
[null,null,null,null,null,null,null,null,8730,0,15.923870659863024,23.653006559688752]
[null,null,null,null,null,null,null,null,8731,0,15.958199100673298,23.686915079805487]
[null,null,null,null,null,null,null,null,8732,0,15.979483194263082,23.707789263851318]
[null,null,null,null,null,null,null,null,8733,0,15.994617287890152,23.722523114731995]
[null,null,null,null,null,null,null,null,8734,0,16.005812208719117,23.733327122936949]
[null,null,null,null,null,null,null,null,8735,0,16.015020127296175,23.742153140533759]
[null,null,null,null,null,null,null,null,8736,0,16.026432247503781,23.703684137652402]
[null,null,null,null,null,null,null,null,8737,0,16.032256486884638,23.710096285864019]
[null,null,null,null,null,null,null,null,8738,0,16.037375527396623,23.715773661951097]
[null,null,null,null,null,null,null,null,8739,0,16.041950380824911,23.720871603976519]
[null,null,null,null,null,null,null,null,8740,0,16.046040710842622,23.725458447595692]
[null,null,null,null,null,null,null,null,8741,0,16.049720388630671,23.729612074887527]
[null,null,null,null,null,null,null,null,8742,0,16.053157229236994,23.733403402248562]
[null,null,null,null,null,null,null,null,8743,-7759.2059553349873,15.577126823444891,23.257707655505619]
[null,null,null,null,null,null,null,null,8744,-2428.5111662531017,15.856134337288104,23.537031802213825]
[null,null,null,null,null,null,null,null,8745,0,16.009722975458665,23.690919719768516]
[null,null,null,null,null,null,null,null,8746,0,16.026706291345729,23.708186853445824]
[null,null,null,null,null,null,null,null,8747,0,16.037803482413807,23.719553384288826]
[null,null,null,null,null,null,null,null,8748,1447.9274611398964,16.131012043881814,23.813017695484653]
[null,null,null,null,null,null,null,null,8749,12666.217616580312,16.840027983732639,24.522276627936947]
[null,null,null,null,null,null,null,null,8750,12326.269430051814,16.907954822155812,24.590434461777242]
[null,null,null,null,null,null,null,null,8751,12414.40414507772,16.972188787413835,24.654891744108916]
[null,null,null,null,null,null,null,null,8752,11935.958549222798,16.988246042913229,24.671165302395927]
[null,null,null,null,null,null,null,null,8753,8410.5699481865286,16.803721879228625,24.486847914581901]
[null,null,null,null,null,null,null,null,8754,4343.7823834196888,16.557292274835191,24.240624217668568]
[null,null,null,null,null,null,null,null,8755,1372.3834196891191,16.354693970135042,24.038222595002576]
[null,null,null,null,null,null,null,null,8756,125.90673575129534,16.248430863743227,23.932147441054006]
[null,null,null,null,null,null,null,null,8757,0,16.214522414814553,23.898418662366232]
[null,null,null,null,null,null,null,null,8758,0,16.196598195626297,23.880666234933663]
[null,null,null,null,null,null,null,null,8759,0,16.18395706108835,23.868189389612997]
[null,null,null,null,null,null,null,null,8760,0,16.1705555942264,23.858656079542705]

{"sheet":"g-Function generator","index":6,"n_rows":47,"n_cols":12,"rows_kept":47,"cut":false,"hidden":false,"merged":[[0,9,0,11],[0,13,0,15]]}
["g-Function developer-INPUTS","SYMBOL","UNITS","VALUES",null,null,"x","y",null,"Long term g-function"]
["Ground properties",null,"SI units",null,null,null,"(m)","(m)",null,"Time (day)","Non.time","g-function"]
["ground thermal conductivity","kg","W/(m-K)",1,null,null,0,0,null,9.2392079900396433E-3,-14,0.19542526699527152]
["ground thermal diffusivity","α","m^2/day",0.1,null,null,5,0,null,2.5114771188678379E-2,-13,0.52372527486325371]
[null,null,null,null,null,null,10,0,null,6.8269026148091216E-2,-12,0.95106119300383785]
["Fluid and heat pump properties (for short-term evaluation of g-functions)",null,null,null,null,null,null,null,null,0.18557445322495178,-11,1.4224397660612187]
["fluid thermal conductivity","kf","W/(m-K)",0.45,null,null,null,null,null,0.50444366402760954,-10,1.9109396716072824]
["fluid dynamic viscosity","μf","kg/(m-s)",3.3E-3,null,null,null,null,null,1.3712200454075507,-9,2.4054084954134032]
["fluid thermal heat capacity","Cp,f","J/(kg-K)",4020,null,null,null,null,null,3.7273625322501318,-8,2.9012637259384078]
["fluid density","ρf","kg/m^3",1020,null,null,null,null,null,10.132021839494625,-7,3.3963676703267138]
["total mass flow rate (for all boreholes)","mf","L/s",10,null,null,null,null,null,27.541690851848429,-6,3.9100861825015278]
[null,null,null,null,null,null,null,null,null,74.866077767616304,-5,4.5638858349162605]
[null,null,null,null,null,null,null,null,null,203.50709876371309,-4,5.4542618303171819]
["Borehole characteristics",null,null,null,null,null,null,null,null,553.1896485318216,-3,6.5444834658052704]
["borehole radius","rb","m",0.05,null,null,null,null,null,1503.7253692956967,-2,7.7004283412621248]
["borehole buried depth","Db","m",1,null,null,null,null,null,4087.5493463493594,-1,8.7714283713287475]
["Inside the borehole (for short-term evaluation of g-functions)",null,null,null,null,null,null,null,null,11111.111111111111,0,9.6123944568642692]
["number of U-tubes","NU,pi","------",2,null,null,null,null,null,30203.131427322725,1,10.112181123814153]
["pipe inner radius","rpi,in","m",1.14E-2,null,null,null,null,null,82100.623321451669,2,10.318060568816867]
["pipe outer radius","rpi,ext","m",1.2500000000000001E-2,null,null,null,null,null,223172.63247986298,3,10.380326783477676]
["pipe density","ρpi","kg/m^3",1000,null,null,null,null,null,606646.1114793804,4,10.396119053283392]
["pipe heat capacity","Cp,pi","J/(kg-K)",1500]
["pipe thermal conductivity","kpi","W/(m-K)",0.42]
["grout density","ρgr","kg/m^3",1000]
["grout heat capacity","Cp,gr","J/(kg-K)",4000]
["grout thermal conductivity","kgr","W/(m-K)",0.6]
["convection coefficient (for Rb estimation)","hconv","W/(m^2-K)",1000]
["center-to-center distance between pipes","LU","m",0.05]
["contact resistance between pipes and grout","Rcont","m-K/W",0]
["borehole thermal resistance","Rb","m-K/W",0.20100000000000001]
[]
[]
["Borefield geometry"]
[]
["distance between boreholes","B","m",5,"Enter borehole spacing and the number of borehole in D35 to D37. "]
["number of boreholes in X direction","NBx","---",3,"Then save locations. "]
["number of boreholes in Y direction","NBy","---",1,"The positions will appear in G3->Gnb+2 and H3->Hnb+2 cells. "]
[]
[" total number of boreholes ","NB","---",3]
[]
[]
["Calculation parameters"]
[" the length of each borehole","H","m",100]
[]
["number of segments per borehole (for long-term evaluation of g-functions)","Nseg","---",1]
[]
["number of hours used (for short-term evaluation of g-functions)","tmax,sh. eff.","hr",100]

{"sheet":"Temperature penalty","index":7,"n_rows":59,"n_cols":8,"rows_kept":59,"cut":false,"hidden":false,"merged":[]}
["Temperature penalty-INPUTS","SYMBOL","UNITS","VALUES",null,null,"x","y"]
["Ground properties",null,"SI units",null,null,null,"(m)","(m)"]
["ground thermal conductivity","kg","W/(m-K)",1,null,null,0,0]
["ground thermal diffusivity","α","m^2/day",0.1,null,null,5,0]
[null,null,null,null,null,null,10,0]
["Fluid and heat pump properties"]
[]
[]
[]
[]
[]
[]
[]
["Borehole characteristics"]
["borehole radius","rb","m",0.05]
["borehole buried depth","Db","m",1]
["Inside the borehole"]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
["Borefield geometry"]
[]
["distance between boreholes","B","m",5,"Enter borehole spacing and the number of borehole in D35 to D37. "]
["number of boreholes in X direction","NBx","---",3,"Then save locations. "]
["number of boreholes in Y direction","NBy","---",1,"The positions will appear in G3->Gnb+2 and H3->Hnb+2 cells. "]
[]
[" total number of boreholes ","NB","---"]
[]
[]
["Calculation parameters"]
[" the length of each borehole","H","m",100]
[]
["number of segments per borehole","Nseg","---",1]
[]
["Building loads"]
[null,"q","W",1884]
["design duration","ty","year(s)",10]
["heating EFLH","th","hr"]
["cooling EFLH","tc","hr"]
["Heat pump properties"]
[" heating COP","COPh","---"]
[" cooling COP","COPc","---"]
[]
[]
[]
["Results"]
["temperature penalty","Tp","°C",2.6016453624282283]

{"sheet":"Tables of thermal properties","index":8,"n_rows":57,"n_cols":5,"rows_kept":57,"cut":false,"hidden":false,"merged":[[1,1,1,4],[30,1,30,4]]}
[]
[null,"Thermal properties of selected soils, rocks and borehole grouts/fills (ASHRAE handbook 2019)"]
[null,null,"Dry density ","Conductivity","Diffusivity "]
[null,"Unit: SI","kg/m^3","W/(m-K)","m^2/day"]
[null,"Soils"]
[null,"Heavy clay, 15 % water",1920,"1.4 - 1.9","0.042 - 0.060"]
[null,"Heavy clay, 5 % water",1920,"1.0 - 1.4","0.047 - 0.060"]
[null,"Light clay, 15 % water",1280,"0.7 - 1.4","0.033 - 0.047"]
[null,"Light clay, 5 % water",1280,"0.5 - 0.9","0.033 - 0.056"]
[null,"Heavy sand, 15 % water",1920,"2.8 - 3.8 ","0.084 - 0.112"]
[null,"Heavy sand, 5 % water",1920,"2.1 - 3.3 ","0.093 - 1.200"]
[null,"Light sand, 15 % water",1280,"1.4 - 2.1 ","0.047 - 0.093"]
[null,"Light sand, 5 % water",1280,"0.9 - 1.9 ","0.056 - 0.121"]
[null,"Rocks"]
[null,"Granite",2640,"2.2 - 3.6","0.084 - 0.130"]
[null,"Limestone","2400 - 2800","2.4 - 3.8","0.084 - 0.130"]
[null,"Sandstone",null,"2.1 - 3.5","0.065 - 0.112"]
[null,"Shale, wet","2560 - 2720","1.4 - 2.4","0.065 - 0.084"]
[null,"Shale, dry",null,"1.4 - 2.1","0.056 - 0.074"]
[null,null,"Liquid density","Conductivity"]
[null,"Unit","kg/m^3","W/(m-K)"]
[null,"Grouts/Backfills"]
[null,"Bentonite ( 20 to 30 % solids)","1106.1 - 1175.4","0.73 - 0.74"]
[null,"10-25% bentonite / 20-50% SiO2 sand / 35-55% mix water","1350.4 - 1618.8 ","0.99 - 1.64"]
[null,"8-12% bentonite / 55-65% SiO2 sand / 28-34% mix water","1724.2 - 1788.9","1.73 - 2.08"]
[null,"Low-density bentonite/graphite (plus additives)","1198.3 - 1438.0","1.37 - 2.77"]
[null,"Neat cemment (not recommended)","1246.2 - 1773.4","1.52 - 2.77"]
[null,"30 % concrete / 70% SiO2 sand (plus plasticizer)","1653.6 - 1917.2","0.69 - 0.78"]
[]
[]
[null,"Thermal properties of selected soils, rocks and borehole grouts/fills (ASHRAE handbook 2019)"]
[null,null,"Dry density ","Conductivity","Diffusivity "]
[null,"Unit: IP","Ib/ft^3","Btu/(hr-ft-F)","ft^2/day"]
[null,"Soils"]
[null,"Heavy clay, 15 % water",120,"0.8 - 1.1","0.45 - 0.65"]
[null,"Heavy clay, 5 % water",120,"0.6 - 0.8","0.5 - 0.65"]
[null,"Light clay, 15 % water",80,"0.4 - 0.6","0.35 - 0.5"]
[null,"Light clay, 5 % water",80,"0.3 - 0.5","0.35 - 0.6"]
[null,"Heavy sand, 15 % water",120,"1.6 - 2.2","0.9 - 1.2"]
[null,"Heavy sand, 5 % water",120,"1.2 - 1.9","1.0 - 1.5"]
[null,"Light sand, 15 % water",80,"0.6 - 1.2","0.5 - 1.0"]
[null,"Light sand, 5 % water",80,"0.5 - 1.1","0.6 - 1.3"]
[null,"Rocks"]
[null,"Granite",165,"1.3 - 2.1","0.9 -1.4"]
[null,"Limestone","150 - 175","1.4 - 2.2","0.9 - 1.4"]
[null,"Sandstone",null,"1.2 - 2.0","0.7 - 1.2"]
[null,"Shale, wet","160 - 170","0.8 - 1.4","0.7 - 0.9"]
[null,"Shale, dry",null,"0.6 - 1.2","0.6 - 0.8"]
[null,null,"Liquid density","Conductivity"]
[null,"Unit","Ib/ft^3","Btu/(hr-ft-F)"]
[null,"Grouts/Backfills"]
[null,"Bentonite ( 20 to 30 % solids)","9.32 - 9.81","0.42 - 0.45"]
[null,"10-25% bentonite / 20-50% SiO2 sand / 35-55% mix water","11.27 - 13.51","0.57 - 0.95"]
[null,"8-12% bentonite / 55-65% SiO2 sand / 28-34% mix water","14.39 - 14.93","1.00 - 1.20"]
[null,"Low-density bentonite/graphite (plus additives)","10.0 - 12.0","0.79 - 1.60"]
[null,"Neat cemment (not recommended)","10.40 - 14.80","0.88 - 1.60"]
[null,"30 % concrete / 70% SiO2 sand (plus plasticizer)","13.80 - 16.0","0.40 -0.45"]

{"sheet":"Input parameters","index":9,"n_rows":8768,"n_cols":89,"rows_kept":1125,"cut":true,"hidden":false,"merged":[[24,41,24,42],[24,43,24,44],[24,45,24,46],[2,56,2,68],[3,56,3,68],[3,22,3,28],[2,22,2,28],[2,12,2,18],[3,12,3,18],[2,2,2,8],[3,2,3,8],[2,72,2,78],[2,82,2,88],[3,82,3,88],[3,72,3,78],[6,41,6,42],[6,43,6,44],[6,45,6,46],[2,32,2,52],[3,32,3,52],[4,48,4,49],[4,51,4,52]],"bounds":{"rows_first":500,"rows_last":125,"rows_between":500,"halvings":2}}
[]
[]
[null,null,"L2-Classic ASHRAE Equation ",null,null,null,null,null,null,null,null,null,"L2-ASHRAE modified equation",null,null,null,null,null,null,null,null,null,"L2-Alternative method",null,null,null,null,null,null,null,null,null,"L3-Monthly method",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"L4-Hourly method",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"g-Function generator",null,null,null,null,null,null,null,null,null,"Temperature penalty"]
[null,null,"Sizing problem 1-(1st paper)",null,null,null,null,null,null,null,null,null,"Sizing problem 1-(1st paper)",null,null,null,null,null,null,null,null,null,"Sizing problem 2-(1st paper)",null,null,null,null,null,null,null,null,null,"Sizing problem 3-(1st paper)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Sizing problem 3-(1st paper)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"(2nd paper)",null,null,null,null,null,null,null,null,null,"(Tp for Sizing problem 1 (1st paper))"]
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