Chapter 5: Gridding Methods and Finite-Difference Representation of Single-Phase Flow Equations
-
Published:2019
"Gridding Methods and Finite-Difference Representation of Single-Phase Flow Equations", Reservoir Simulation: Problems and Solutions, Turgay Ertekin, Qian Sun, Jian Zhang
Download citation file:
In previous chapters, we have learned finite-difference analogs of first-order and second-order derivatives. In Chapter 4, we learned the partial-differential equations (PDEs) that describe the single-phase flow of incompressible, slightly compressible, and compressible flow dynamics in porous media. Because these PDEs are all composed of first-order and second-order derivatives, writing the finite-difference representation of them is quite straightforward, using their respective finite-difference analogs. Because the finite-difference equations are implemented at preselected discrete points in the reservoir, a discretized representation of the reservoir also will be necessary. The discretized representation of the reservoir is achieved by superimposing gridblocks over the reservoir; this process is called gridding. In this chapter, we first will briefly review the different types of grids, and then we will learn how to couple the finite-difference approximations and the discretized (gridded) reservoir architecture.
Sign in
Personal Account
Advertisement
Advertisement
Advertisement