SHALE VOLUME
• Calculate Vshl from Minimum of GR, SP & N/D
• Vshl_GR = (GR-GRcln) / (GRshl-GRcln) )
• Vshl_SP = (SP-SPcln) / (SPshl-SPcln) ))
• Vshl_ND = (RHOB - RhoM + PHIN * (RhoM - RhoF)) / (RhoShl - RhoM +HIshl * (RhoM - RhoF)
• Vshl = Min(Vshl_GR , Min( Vshl_SP , Vshl_ND ))• Clavier Shale Correction
• Vshl = 1.7 - (3.38 - (Vshl+0.7)^2)^0.5• Steiber Shale Correction
• Vshl = 0.5 * Vshl / (1.5 - Vshl)
POROSITY :
• Effective Porosity
• PHIE = PHIA * (1-Vshl)• Density Porosity
• PHID = (RhoM - RHOB) / (RhoM - RhoF)• Average Neutron Density Porosity
• PHIA = (PHID + PHIN) / 2• Sonic Porosity (Wyllie)
• PHIS = (DT - DTma) / (DTfld - DTma)• Sonic Porosity (Wyllie)
• Enter Compaction Coefficient below,
• Cmp = 1.0
• PHIS = (1/Cmp) * (DT - DTma) / (DTfld - DTma)
• Sonic Porosity (Empirical)
• PHIS = 0.67 * (DT - DTma) / DT• Apparent Sonic Matrix
• DTma = ( DT - PHIA * DTfld ) / (1 - PHIA)• Apparent Density Matrix
• RHOMa = (RHOB - PHIA * RhoF) / (1 - PHIA)• Bulk Volume Water
• BVW = PHIA * SwA.• Hydrocarbon Pore Volume
• HCPV = (1-SwA) * PHIA• Hydrocarbon Pore Volume
• SoPhiH = (1-SwA) * PHIA
WATER RESISTIVITY
• Archie Ro
• Ro = a * Rw / (PHIA^m)• Apparent Water Resistivity
• Rwa = RT * PHIA^m• Conductivity
• COND = 1000/RT• Rw from Dual Water
• RwDW = Rw * RwBnd / (Rw * Vshl + (1-Vshl) * RwBnd)
• Ro from Dual Water
• RoDW = (1 / (PHIA^m)) * (Rw * RwBnd / (Rw * Vshl + RwBnd * (1 - Vshl)))• Modified Simandoux Ro
• If (Vshl < 1)
• RoMS = 1/(PHIE^m / (a* Rw*(1-Vshl)) + Vshl/Rshl)
RESISTIVITY TEMP CORRECTION (for Rw, Rmf)
• T1 and T2 in 'F
• R2 = R1 * (T1 + 6.77) / (T2 + 6.77)
• Resistivity Temp Correction
• T1 and T2 in 'C
• R2 = R1 * (T1 + 21.5) / (T2 + 21.5)WATER SATURATION
• Archie Water Saturation
• SwA = sqrt( Rw / (RT * PHIA^2) )• Archie Water Saturation
• SwA = (a * Rw / ( RT * PHIA^m) )^(1/n)• Archie Water Saturation (Humble)
• SwA = sqrt( .62 * Rw / (RT * PHIA ^2.15) )• Archie Water Saturation
• SwA = sqrt( Rw / (RT * PHID ^m) )• Archie Water Saturation
• SwA = sqrt(Ro / RT)• Archie Water Saturation
• SwA = sqrt(Rw / Rwa)
• SwA = min( 1, max( 0, SwA )• Dual Water SwT & SwE
• Calculate SwT Total Porosity
• Y = Vshl * ( RwBnd - Rw ) / ( 2 * RwBnd )
• SwT = Y +( (Rw / ( RT * PHIA^2 ) ) + Y^2 )^.5
• SwT = min( 1, max( Vshl, SwT ) )
• Calculate SwE Effective Porosity
• If ( Vshl < 0.75 )
• SwE = ( SwT - Vshl ) / ( 1 - Vshl )• Modified Simandoux SwMS
• If (Vshl < 1)
• SwMS = (sqrt( (Vshl/Rshl)^2 + 4*PHIE^m/(a*Rw*(1-Vshl)*RT) ) - Vshl/Rshl)/(2*PHIE^m/(a*Rw*(1-Vshl)) )
• Indonesian Sw (SwI)
• SwI = sqrt(1/RT) / ( Vshl^(1- 0.5*Vshl) /sqrt(Rshl) + sqrt( PHIE^m / (a*Rw)) )• Ratio Method Sw
• Requires normalized SP,
• Rmf/Rw ratio from SP
• K = ~ 61 + 0.1333 * <Temp>
• K = -71
• RmfRwRatio = 10 ^ (SP / K)
• Sw = Min( 1, ( (ResS/ResD) / (RmfRwRatio) ) ^(5/8) )
• Vshl = min(1, max(0, (GR-GRcln) / (GRshl-GRcln) ))
• Vshl = min(1, max(0, (SP-SPcln) / (SPshl-SPcln) ))
• Vshl = min(1, max(0, (RHOB - RhoM + PHIN * (RhoM - RhoF)) / (RhoShl - RhoM +HIshl * (RhoM - RhoF)) ))
PERMEABILITY
• Tixier Permeability
• K = (250 * PHIE^3/SwIrr)^2• Timur Permeability
• K = (100 * PHIE^2.25/SwIrr)^2• Coates Permeability
• K = (70 * PHIE^2 * (1- SwIrr)/SwIrr)^2
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