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Naturally Fractured Reservoirs Equations

Browse 18 naturally fractured reservoirs petroleum engineering equations with formulas, inputs, outputs, units, and sources.

Naturally Fractured Reservoirs equations group related upstream petroleum engineering formulas by workflow so engineers can find the right calculation faster.

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Geomechanics and FracturingNaturally Fractured Reservoirs

Areal Fracture Intensity from Trace Length

P21=LtAsP_{21}=\frac{L_t}{A_s}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Average Fracture Spacing from Linear Intensity

Sf=1P10S_f=\frac{1}{P_{10}}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Cubic Matrix Block Interporosity Flow Coefficient

λ=60Lm2rw2kmkf\lambda=\frac{60}{L_m^2}r_w^2\frac{k_m}{k_f}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Fracture Permeability from Hydraulic Aperture Cubic Law

kf=bh212k_f=\frac{b_h^2}{12}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Fracture Porosity from Aperture and Volumetric Intensity

ϕf=bfP32\phi_f=b_fP_{32}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Fracture Storativity

ω=ϕfhfctfϕfhfctf+ϕmhmctm\omega = \frac{\phi_f h_f c_{tf}}{\phi_f h_f c_{tf} + \phi_m h_m c_{tm}}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Kazemi Rectangular Matrix-Block Shape Factor

α=4(1Lmx2+1Lmy2+1Lmz2)\alpha=4\left(\frac{1}{L_{mx}^2}+\frac{1}{L_{my}^2}+\frac{1}{L_{mz}^2}\right)
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Geomechanics and FracturingNaturally Fractured Reservoirs

Lim-Aziz Anisotropic Rectangular Matrix-Block Shape Factor

α=π2kmg(kxLmx2+kyLmy2+kzLmz2)\alpha=\frac{\pi^2}{k_{mg}}\left(\frac{k_x}{L_{mx}^2}+\frac{k_y}{L_{my}^2}+\frac{k_z}{L_{mz}^2}\right)
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Geomechanics and FracturingNaturally Fractured Reservoirs

Linear Fracture Intensity from Scanline Count

P10=NfLsP_{10}=\frac{N_f}{L_s}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Matrix Block Shape Factor from Surface Area

α=AVmx\alpha=\frac{A}{V_mx}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Matrix-Block Shape Factor from Dimensionless Constant

α=σDLm2\alpha=\frac{\sigma_D}{L_m^2}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Parallel Fracture Set Permeability from Cubic Law

kset=bh312sfk_{set}=\frac{b_h^3}{12s_f}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Single-Fracture Flow Rate from Cubic Law

Q=Wbh3Δp12μLQ=\frac{Wb_h^3\Delta p}{12\mu L}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Slab Matrix Block Interporosity Flow Coefficient

λ=12hs2rw2kmkf\lambda=\frac{12}{h_s^2}r_w^2\frac{k_m}{k_f}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Spherical Matrix Block Interporosity Flow Coefficient

λ=15rm2rw2kmkf\lambda=\frac{15}{r_m^2}r_w^2\frac{k_m}{k_f}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Volumetric Fracture Intensity from Fracture Area

P32=AfVrP_{32}=\frac{A_f}{V_r}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Warren-Root Interporosity Flow Coefficient

λ=αrw2kmkf\lambda=\alpha r_w^2\frac{k_m}{k_f}
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Geomechanics and FracturingNaturally Fractured Reservoirs

Warren-Root Shape Factor from Fracture Sets

α=4n(n+2)Lm2\alpha=\frac{4n(n+2)}{L_m^2}
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