Contemporary Topics in ERPE - Homework #2: Problem #1: IPR curve for two-phase reservoir Problem Statement: For a well d

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Contemporary Topics In Erpe Homework 2 Problem 1 Ipr Curve For Two Phase Reservoir Problem Statement For A Well D 1 (90.8 KiB) Viewed 43 times

Contemporary Topics in ERPE - Homework #2: Problem #1: IPR curve for two-phase reservoir Problem Statement: For a well draining a 640 acre spacing. Given Data: clear clc close all k_H = 13; % Horizontal permeability, md h = 115; X Reservoir thickness, ft p_i = 5000; \ Initial reservoir pressure, psi P_b - 4209; X Bubble point pressure, psi T = 220; % Reservoir temperature, "F gamma_0 = 32; % API gravity of oil, API gamma_gsep - 0.71; % Specific gravity of gas R_sb = 780; X Solution gas-oil ratio at undersaturated condition, SCF/STB P_sep = 100; % Reference separator pressure, psi T_sep = 100; % Reference separator temperature, F B_0b = 1.452: % Formation volume factor at Bubble point, res bbl/STB r_w = 0.496; % Wellbore radius, ft Area = 640, Drainage area, acres s = 0; % Skin factor 1.1 - Now we are lacking of some experimentally determined PVT properties. Calculate property correlations Solution gas-oil ratio R. oil viscosity for and oil formation volume factor Bo, plot them versus pressure p respectively (Refer to textbook, Economides et al., Petroleum Production System). Use the correlation below to plot Oll relative permeability kto versus pressure p, Sy(p) is assumed to be linear and ranging from o for po to 0.15 for p = 0) psia. (20 points) kn = 13.3428 - 4.544.35 +0.4906 1.2 - Assuming pseuso-steady-state flow, plot IPR curves for average reservoir pressures of 4500, 4000, 3500, 3000, and 2500 psi (all on the same graph). What would the well produce at each of these reservoir pressures if the bottomhole pressure is the following function of flow rate? VFP equation: P = 1500+0.54 Show a table contains average reservoir pressure p, oil formation volume factor Be, viscosity Hot bottomhole pressure Pwrand oll flow rate Q. (15 points) Problem #2: Z-factor calculation Problem Statement: Determine the Z factor by solving the Dranchuk-Abou-Kassem (DAK) correlation at T = 200°F and p = 4000 psi. Use both Newton's method ("while" loop) and MATLAB built-in function "fsolve" for this nonlinear function respectively, compare your results with the Z factor determined from Standing-Katz Chart (calculate