Abstract
The nonlinear dual-porosity flow model, specifically considering the quadratic pressure gradient term, wellbore storage coefficient, well skin factor, and interporosity flow of matrix to natural fractures, was established for well production in a naturally fractured formation and then solved using a semianalytical method, including Laplace transform and a transformation of the pressure function. Analytical solution of the model in Laplace space was converted to numerical solution in real space using Stehfest numerical inversion. Nonlinear flow process for well production in a naturally fractured formation with different external boundaries was simulated and analyzed using standard pressure curves. Influence of the quadratic pressure gradient coefficient on pressure curves was studied qualitatively and quantitatively in conditions of a group of fixed model parameters. The research results show that the semianalytical modelling method is applicable in simulating the nonlinear dual-porosity flow behavior.
Highlights
The fluid flow in porous media was proved to be of nonlinearity [1,2,3]
The nonlinear flow models with the quadratic pressure gradient term for well production in underground formations were especially investigated in the past
Despite copious literatures on the nonlinear flow subject with the quadratic pressure gradient term, most of them were focused on the single porosity medium and only two papers [8, 9] studied the dual-porosity media; the nonlinear dual-porosity flow model of Bai suffered some limitations in face of the real world: (1) well skin and wellbore storage effects that exist in every real well were not considered in his model; (2) a standard set of log-log type curves for nonlinear flow process analysis was not developed; (3) quantitative difference between nonlinear and linear models was not compared
Summary
The fluid flow in porous media was proved to be of nonlinearity [1,2,3]. The nonlinear flow models with the quadratic pressure gradient term for well production in underground formations were especially investigated in the past. In 1996, the analytic solution to the nonlinear diffusion equation with the quadratic pressure gradient by considering a constant compressibility of fluid was derived [10]. Despite copious literatures on the nonlinear flow subject with the quadratic pressure gradient term, most of them were focused on the single porosity medium and only two papers [8, 9] studied the dual-porosity media; the nonlinear dual-porosity flow model of Bai suffered some limitations in face of the real world: (1) well skin and wellbore storage effects that exist in every real well were not considered in his model; (2) a standard set of log-log type curves for nonlinear flow process analysis was not developed; (3) quantitative difference between nonlinear and linear models was not compared.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
