Nonlinear Moving Boundary Model of Low-Permeability Reservoir

Xiarong Jiao, Shan Jiang and Hong Liu
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Xiarong Jiao: School of Earth Science, Yangtze University, Wuhan 430100, China
Shan Jiang: School of Earth Science, Yangtze University, Wuhan 430100, China
Hong Liu: School of Science, East China University of Technology, Nanchang 330013, China

Energies, 2021, vol. 14, issue 24, 1-19

Abstract: At present, there are two main methods for solving oil and gas seepage equations: analytical and numerical methods. In most cases, it is difficult to find the analytical solution, and the numerical solution process is complex with limited accuracy. Based on the mass conservation equation and the steady-state sequential substitution method, the moving boundary nonlinear equations of radial flow under different outer boundary conditions are derived. The quasi-Newton method is used to solve the nonlinear equations. The solutions of the nonlinear equations with an infinite outer boundary, constant pressure outer boundary and closed outer boundary are compared with the analytical solutions. The calculation results show that it is reliable to solve the oil-gas seepage equation with the moving boundary nonlinear equation. To deal with the difficulty in solving analytical solutions for low-permeability reservoirs and numerical solutions of moving boundaries, a quasi-linear model and a nonlinear moving boundary model were proposed based on the characteristics of low-permeability reservoirs. The production decline curve chart of the quasi-linear model and the recovery factor calculation chart were drawn, and the sweep radius calculation formula was also established. The research results can provide a theoretical reference for the policy-making of development technology in low-permeability reservoirs.

Keywords: low-permeability reservoir; starting pressure gradient; steady-state sequential replacement method; moving boundary; nonlinear equation (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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