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Thermal Gradients Equations

Browse 11 thermal gradients petroleum engineering equations with formulas, inputs, outputs, units, and sources.

Thermal Gradients equations group related upstream petroleum engineering formulas by workflow so engineers can find the right calculation faster.

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Reservoir EngineeringThermal Gradients

Average Temperature of a Gas Column

T=Tt+Tb2T = \frac{T_t + T_b}{2}
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Reservoir EngineeringThermal Gradients

Conductive Heat Flow from Geothermal Gradient

q=kΔTΔzq = k\frac{\Delta T}{\Delta z}
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Reservoir EngineeringThermal Gradients

Formation Temperature for a Given Gradient

Tf=Ts+gG(D100)T_f = T_s + g_G \cdot \left( \frac{D}{100} \right)
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Reservoir EngineeringThermal Gradients

Geothermal Gradient from Temperature Log Interval

G=TdeepTshallowzdeepzshallow1000G = \frac{T_{deep}-T_{shallow}}{z_{deep}-z_{shallow}}\,1000
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Reservoir EngineeringThermal Gradients

Horner Formation Temperature from Bottom-Hole Temperature

T=TiClog10(tc+ΔtΔt)T = T_i - C\log_{10}\left(\frac{t_c+\Delta t}{\Delta t}\right)
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Reservoir EngineeringThermal Gradients

Horner Time Ratio for Bottom-Hole Temperature Correction

H=tc+ΔtΔtH = \frac{t_c+\Delta t}{\Delta t}
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Reservoir EngineeringThermal Gradients

Reservoir Heat Required for Temperature Increase

Q=43560VrMr(TfTi)Q=43560V_rM_r(T_f-T_i)
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Reservoir EngineeringThermal Gradients

Thermal Conductivity from Heat Flow

k=QLAΔTk=\frac{QL}{A\Delta T}
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Reservoir EngineeringThermal Gradients

Thermal Diffusivity

α=kρCp\alpha=\frac{k}{\rho C_p}
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Reservoir EngineeringThermal Gradients

Volumetric Heat Capacity of a Reservoir

Mr=(1ϕ)Ms+ϕSoMo+ϕSwMw+ϕSg[fgMg+(1fg)(LvρsΔT+ρsCw)]M_r=(1-\phi)M_s+\phi S_oM_o+\phi S_wM_w+\phi S_g\left[f_gM_g+(1-f_g)\left(\frac{L_v\rho_s}{\Delta T}+\rho_sC_w\right)\right]
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Reservoir EngineeringThermal Gradients

Waples-Ramly Single-Point Bottom-Hole Temperature Correction

Tc=T0+fs(TmesT0)T_c = T_0 + f_s(T_{mes}-T_0)
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