Chapter 3: Basic Mathematics of Reservoir Modeling
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Published:2019
"Basic Mathematics of Reservoir Modeling", Reservoir Simulation: Problems and Solutions, Turgay Ertekin, Qian Sun, Jian Zhang
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Partial-differential equations (PDEs) that describe fluid flow dynamics in porous media can be linear or nonlinear equations; however, they are always composed of only first-order and second-order derivatives. Therefore, good understanding of basic differential calculus forms the backbone of reservoir modeling of recovery processes.
The definition of a first-order derivative of a continuous function, f, is given by
If function f is a continuous function of the independent variables x and y and expressed as f = f(x, y), then
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