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["Prof. Milan Stanko (NTNU)"]
["Total layer height, ht (oil plus water)","[m]",{"$f":"C3+C4","v":50}]
["Initial water layer height, hw (ht-he)","[m]",10]
["Initial oil layer height, ho (he)","[m]",40]
["Horizontal distance from well to outer boundary, xe","[m]",300]
["Vertical distance between well and top of reservoir, hb","[m]",5]
["Horizontal permeability, k","[md]",100]
["Oil viscosity","[cp]",1]
["water viscosity","[cp]",0.6]
["Oil mobility","[md/cp]",{"$f":"C7/C8","v":100}]
["water mobility","[md/cp]",{"$f":"C7/C9","v":166.66666666666669}]
["Oil density","[kg/m^3]",800]
["Water density","[kg/m^3]",1024]
["Oil Bo","[m3/Sm3]",1]
["Water Bw","[m3/Sm3]",1]
["Well length, L, [m]","[m]",500]
["Critical oil flow to start producing water, qoc (ho=hb@x=0)","[Sm3/d]",{"$f":"critical_oil_flow(C13,C12,C10,C6,C4,C5,C14,C16)","v":49.186238925600001}]
["Mobility ratio M (o/w)","[-]",{"$f":"(C7/C8)/(C7/C9)","v":0.6}]
["upper limit  of f (qw/qo)","[-]",{"$f":"((C2/C4)-1)/C18","v":0.41666666666666669}]
["upper limit for WC","[%]",{"$f":"C19*100/(1+C19)","v":29.411764705882355},null,null,"ASSUMPTIONS:"]
["deltaf (qw/qo) - for plotting","[-]",{"$f":"C19*0.999/30","v":1.3875E-2},null,null,"*Steady state flow, the oil and water volumetric flows in their layers are constant along the x direction (i.e. there is flow through the outer boundaries)"]
[null,null,null,null,null,"*Dupuis-Forchheim assumption: the flow towards the well is primarily horizontal, thus the pressure change in the vertical direction is due to the fluid column only"]
[null,"f (qw/qo)","WC","qo/qoc",null,"*Capillary pressure is neglected"]
[null,"[-]","[%]","[-]"]
[null,0,{"$f":"B25*100/(1+B25)","v":0},{"$f":"spi($C$18,B25,$C$2,$C$4,$C$6)","v":1}]
[null,{"$f":"$C$21+B25","v":1.3875E-2},1.3685118974232522,1.0131713169400338]
[null,{"$f":"$C$21+B26","v":2.775E-2},2.700072974945269,1.0268572572138299]
[null,4.1625000000000002E-2,3.9961598463938564,1.041095490035411]
[null,5.5500000000000001E-2,5.2581714827096153,1.0559279165629925]
[null,6.9375000000000006E-2,6.4874342489772072,1.0714013278765617]
[null,8.3250000000000005E-2,7.6852065543503354,1.0875681961946886]
[null,9.7125000000000003E-2,8.8526831491397981,1.1044876331302094]
[null,0.111,9.99099909990999,1.1222265592447018]
[null,0.124875,11.101233470385598,1.1408611434976648]
[null,0.13875000000000001,12.184412733260157,1.1604785910938098]
[null,0.15262500000000001,13.241513935581825,1.1811793862739912]
[null,0.16650000000000001,14.273467638234035,1.203080136717245]
[null,0.18037500000000001,15.281160648099123,1.226317224617707]
[null,0.19425000000000001,16.265438559765542,{"$f":"spi($C$18,B39,$C$2,$C$4,$C$6)","v":1.2510515561117765}]
[null,0.208125,17.227108122090016,1.2774748319008995]
[null,0.222,18.166939443535188,1.3058179652408617]
[null,0.235875,19.08566804895317,1.3363625969656887]
[null,0.24975,19.983996799359875,1.3694571872849166]
[null,0.263625,20.862597685230984,1.4055400622576513]
[null,0.27750000000000002,21.722113502935422,1.4451733745318127]
[null,0.29137500000000005,{"$f":"B46*100/(1+B46)","v":22.563159423095545},{"$f":"spi($C$18,B46,$C$2,$C$4,$C$6)","v":1.4890948510495579}]
[null,0.30525000000000008,23.386324458915922,1.5382998570297577]
[null,0.3191250000000001,24.192172841845924,1.5941780081832462]
[null,0.33300000000000013,24.981245311327836,1.6587547274370096]
[null,0.34687500000000016,25.754060324825993,1.7351526346736974]
[null,0.36075000000000018,26.511115193826942,1.8285681933390023]
[null,0.37462500000000021,27.252887151041204,1.948661023623494]
[null,0.38850000000000023,27.979834353619022,2.1168617649191561]
[null,0.40237500000000026,28.692396826811674,2.4001109500456095]
[null,0.41625000000000029,29.390997352162415,3.8501599280914283]