{"text_format":"1","workbook":"xlsx","n_sheets":4,"sheets":["parameters","starting conditions","heat production","model"],"not_rendered":{"charts":3,"images":2,"macros":1,"external_links":0,"defined_names":36,"comments":0,"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":"1904"}

{"sheet":"parameters","index":0,"n_rows":41,"n_cols":4,"rows_kept":41,"cut":false,"hidden":false,"merged":[]}
["A program for 2D transient heat flow, solved by the alternating-direction, implicit, finite-difference method."]
["To run the program:"]
["1. Enter input parameters in \"parameters\" sheet"]
["2. Run startup macro (opt-cmd S) and check temperature output on \"starting conditions\" sheet (this produces steady state with exponential distribution of RHP)."]
["3. Modify temperatures in \"starting conditions\" and heat production values  \"starting conditions\" sheet as desired (for example, add non-exponential RHP steady state temperatures and RHP)."]
["4. Run heat macro (opt-cmd H)"]
["5. View results in \"model\" sheet"]
[]
["Initial steady state temperatures for non-exponential distribution of RHP can be calculated by increasing the duration of the calculation. Copy final temperatures from the \"model\" sheet to the \"starting conditions\" sheet. "]
["You can run a 1D model by decreasing the number of horizontal nodes to 2."]
["Additional notes can be viewed and outputs can be modified in visual basic editor."]
[]
["Input parameters",null,"units","notes"]
["Number of horizontal nodes",176,null,"Note that you must remake StartingConditions and HeatProduction spreadsheets whenever changing the number of nodes"]
["Number of vertical nodes",76]
["Width of model (km)",350,"km"]
["Height of model (km)",150,"km"]
["Thermal diffusivity",9.9999999999999995E-7,"m^2/s"]
["Thermal conductivity",3,"W/m  K"]
["Surface temperature",0,"°C"]
["Radiogenic heat production",4,"uW/m^3","Only used for Startup to calulate a exponential distribution of RHP."]
["Length scale for rad. heat prod.",10,"km","Only used for Startup to calulate a exponential distribution of RHP."]
["Mantle heat flow",17,"mW/m^2"]
["Basal heat flow",17,"mW/m^2"]
["Duration of calculation",80,"Ma"]
["Number of cycles between output",10]
["Time step size",1,"Myr"]
["epsilon for Gauss-Seidel iteration ",0.01,"(1E-3 to 1E-4)"]
["number of nodes below Moho",45,"node","Only used for Startup"]
["nodes of mantle lithosphere",0,"node","These nodes have fixed T of 1350 deg C"]
["Erosion rate",0,"km/Myr","Time step size must be divisible by the rate (same as mm/yr)"]
[]
["Resulting values"]
["crustal thickness",{"$f":"vNodes-Moho_depth","v":31},"nodes"]
["horizontal node spacing",{"$f":"width/(hNodes-1)","v":2},"km"]
["vertical node spacing",{"$f":"height/(vNodes-1)","v":2},"km"]
["total number of time steps",{"$f":"duration/dt","v":80}]
["time between output cycles",{"$f":"printCycles*dt","v":10},"Ma"]
["implied surface heat flow for startup",{"$f":"qmantle+heatProdLength*heatProd","v":57},"mW/m^2","Only for Startup and an exponential RHP distribution"]
["heat capacity",{"$f":"conductivity/(3000*kappa)/1000","v":1}]
["total amount of erosion",{"$f":"erosionRate*duration","v":0},"km"]

{"sheet":"starting conditions","index":1,"n_rows":79,"n_cols":178,"rows_kept":79,"cut":false,"hidden":false,"merged":[]}
[]
["°C",0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,94,96,98,100,102,104,106,108,110,112,114,116,118,120,122,124,126,128,130,132,134,136,138,140,142,144,146,148,150,152,154,156,158,160,162,164,166,168,170,172,174,176,178,180,182,184,186,188,190,192,194,196,198,200,202,204,206,208,210,212,214,216,218,220,222,224,226,228,230,232,234,236,238,240,242,244,246,248,250,252,254,256,258,260,262,264,266,268,270,272,274,276,278,280,282,284,286,288,290,292,294,296,298,300,302,304,306,308,310,312,314,316,318,320,322,324,326,328,330,332,334,336,338,340,342,344,346,348,350,"km"]
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[148]
[150]
["km"]

{"sheet":"heat production","index":2,"n_rows":79,"n_cols":178,"rows_kept":79,"cut":false,"hidden":false,"merged":[]}
[]
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["km",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"km"]

{"sheet":"model","index":3,"n_rows":169,"n_cols":178,"rows_kept":169,"cut":false,"hidden":false,"merged":[]}
["Time (Ma)=",null,1,10,20,30,40,50,60,70,79,null,null,null,null,null,null,null,null,null,null,1,10,20,30,40,50,60,70,79]
["°C"]
[0]
[2]
[4]
[6]
[8]
[10]
[12]
[14]
[16]
[18]
[20]
[22]
[24]
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[28]
[30]
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[42]
[44]
[46]
[48]
[50]
[52]
[54]
[56]
[58]
[60]
[62]
[64]
[66]
[68]
[70]
[72]
[74]
[76]
[78]
[80]
[82]
[84]
[86]
[88]
[90]
[92]
[94]
[96]
[98]
[100]
[102]
[104]
[106]
[108]
[110]
[112]
[114]
[116]
[118]
[120]
[122]
[124]
[126]
[128]
[130]
[132]
[134]
[136]
[138]
[140]
[142]
[144]
[146]
[148]
[150]
["km"]
["Moho (km)"]
["Moho T(C)"]
["volcanics (km)"]
["plutonics (km)"]
["intrusion depth (km)"]
["surface heat flow (mW/m2)"]
[]
[]
[]
[]
[]
["Iteration",null,"=",null,"Ma",null,null,null,"km"]
["°C",0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,94,96,98,100,102,104,106,108,110,112,114,116,118,120,122,124,126,128,130,132,134,136,138,140,142,144,146,148,150,152,154,156,158,160,162,164,166,168,170,172,174,176,178,180,182,184,186,188,190,192,194,196,198,200,202,204,206,208,210,212,214,216,218,220,222,224,226,228,230,232,234,236,238,240,242,244,246,248,250,252,254,256,258,260,262,264,266,268,270,272,274,276,278,280,282,284,286,288,290,292,294,296,298,300,302,304,306,308,310,312,314,316,318,320,322,324,326,328,330,332,334,336,338,340,342,344,346,348,350,"km"]
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["km"]