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Reservoir EngineeringMaterial Balance

Water Influx Constant for van Everdingen-Hurst Aquifer

B=1.119ϕctre2hfB=1.119\phi c_tr_e^2hf
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Reservoir EngineeringMaterial Balance

van Everdingen-Hurst Single-Step Water Influx

We=BΔpWeDW_e=B\Delta p W_{eD}
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Phase Behavior and ThermodynamicsPVT Properties

Vasquez-Beggs Solution Gas-Oil Ratio from Pressure

Rs=C1γgpC2exp⁡(C3APIT+460)R_s=C_1\gamma_g p^{C_2}\exp\left(\frac{C_3API}{T+460}\right)
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Production EngineeringWell Performance

API RP 14E Erosional Velocity

Ve=CρmV_e=\frac{C}{\sqrt{\rho_m}}
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Phase Behavior and ThermodynamicsFluid Properties

Beggs-Robinson Live Oil Viscosity Correlation

μo=AμodB\mu_o=A\mu_{od}^{B}
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Production EngineeringHydraulic Fracturing

Carter Leakoff Volume for Hydraulic Fracturing

VL=AL(2CLt+Sp)V_L=A_L\left(2C_L\sqrt{t}+S_p\right)
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Drilling EngineeringWell Control

Hydrostatic Pressure in Annulus Due to Slug

P=VaVs(Ws−Wm)0.052P=V_aV_s(W_s-W_m)0.052
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Reservoir EngineeringFluid Flow in Porous Media

Radial Pressure Distribution in Single-Phase Liquid Flow

p(r)=pwf+Cln⁡(r/rw)C=141.2qoμoBokh\begin{aligned}p(r)&=p_{wf}+C\ln(r/r_w)\\C&=\frac{141.2q_o\mu_oB_o}{kh}\end{aligned}
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Production EngineeringWell Performance

Skin Factor Due to Reduced Crushed-Zone Permeability

sc=(kkdp−kkd)12hpNLpln⁡(rdprp)s_c=\left(\frac{k}{k_{dp}}-\frac{k}{k_d}\right)12\frac{h_p}{NL_p}\ln\left(\frac{r_{dp}}{r_p}\right)
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Production EngineeringWell Performance

API RP 14E Two-Phase Flowline Pressure Drop

ΔP100=0.000336fW2Di5ρm\Delta P_{100}=\frac{0.000336fW^2}{D_i^5\rho_m}
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Reservoir EngineeringFluid Flow in Porous Media

Darcy-Forchheimer Superficial Velocity

v=2Gμ/k+(μ/k)2+4βρGv=\frac{2G}{\mu/k+\sqrt{(\mu/k)^2+4\beta\rho G}}
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Production EngineeringInflow Performance

Gas Deliverability Pressure-Squared Drawdown

Δp2=Pr2−Pwf2\Delta p^2=P_r^2-P_{wf}^2
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Reservoir EngineeringPVT Properties

Gas Expansion Factor from Formation Volume Factor

Eg=35.37PzTE_g = 35.37 \frac{P}{zT}
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Production EngineeringWell Performance

Haaland Darcy Friction Factor

fD=[−1.8log⁡10A]−2A=(ε/D3.7)1.11+6.9Re\begin{aligned}f_D&=[-1.8\log_{10}A]^{-2}\\A&=\left(\frac{\varepsilon/D}{3.7}\right)^{1.11}+\frac{6.9}{\mathrm{Re}}\end{aligned}
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Reservoir EngineeringPressure Transient Analysis

Pseudosteady-State Dimensionless Pressure Drop for Horizontal Well

PD=2πtDA+0.5ln⁡(A4(L/2)2)+0.5ln⁡(2.2458CAh)+1.385P_D=2\pi t_{DA}+0.5\ln\left(\frac{A}{4(L/2)^2}\right)+0.5\ln\left(\frac{2.2458}{C_{Ah}}\right)+1.385
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Production EngineeringInflow Performance

Rawlins-Schellhardt Gas Deliverability Rate

qg=CRS(Pr2−Pwf2)nRSq_g=C_{RS}\left(P_r^2-P_{wf}^2\right)^{n_{RS}}
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Reservoir EngineeringPressure Transient Analysis

Skin Factor from Pressure Transient Semilog Analysis

s=1.151(Rp−L+3.23)Rp=Δp1hr/mL=log⁡10(kϕμctrw2)\begin{aligned}s&=1.151(R_p-L+3.23)\\R_p&=\Delta p_{1hr}/m\\L&=\log_{10}\left(\frac{k}{\phi\mu c_tr_w^2}\right)\end{aligned}
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Drilling EngineeringDrilling Hydraulics

Annular Velocity from Pump Output

AV=24.5QDh2−Dp2AV = \frac{24.5Q}{D_h^2 - D_p^2}
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Reservoir EngineeringWell Performance

Craft and Hawkins Vertical Well Critical Coning Rate

qo=0.007078koh(pws−pwf)μoBoln⁡(re/rw)PRq_o=\frac{0.007078k_oh(p_{ws}-p_{wf})}{\mu_oB_o\ln(r_e/r_w)}PR
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Reservoir EngineeringPressure Transient Analysis

Dimensionless Pressure for Linear Flow Constant Rate General Case

pD=kA(pi−p)141.2qBμp_D=\frac{k\sqrt{A}(p_i-p)}{141.2qB\mu}
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Drilling EngineeringWell Control

Final Circulating Pressure

FCP=SCRPKWMOMWFCP=SCRP\frac{KWM}{OMW}
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Reservoir EngineeringPressure Transient Analysis

Fracture Conductivity During Bilinear Flow

FC=[44.1QμBmbfh(ϕμctk)0.25]2F_C=\left[\frac{44.1 Q \mu B}{m_{bf} h (\phi \mu c_t k)^{0.25}}\right]^2
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Drilling EngineeringDrilling Hydraulics

Herschel-Bulkley Drilling Fluid Shear Stress

τ=τy+Kγ˙n\tau=\tau_y+K\dot\gamma^n
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Production EngineeringWell Performance

Horizontal Separator Length for Liquid Retention

Lreq=4(5.615)VreqπFLD2L_{req}=\frac{4(5.615)V_{req}}{\pi F_LD^2}
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