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Abstract
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In order to calculate the accurate prediction of fluid pressure in the reservoir and hydrocarbon's reservoir's simulation, numerical methods have been developed. However, researchers are always looking for more efficient and accurate numerical methods for increasing the ability of numerical modeling. In this research, the development of differential quadrature method (DQM) in the field of numerical simulation of hydrocarbon reservoirs and fluid flow in porous media is studied. Fluid motion in a porous petroleum reservoir is governed by partial differential equations. So far, several numerical methods were used to solve these equations. In this study, differential quadrature method is used to solve the governing equations. For this purpose, several different flow simulations in a porous petroleum reservoir (including one and two-dimensional problems, compressible and incompressible stones, etc.) are considered. The obtained results and their degree of accuracy are compared with available experimental and numerical data found in the literature, and on that basis, it is concluded that DQM generates accurate results, is very easy to formulate and operate, does not need large mesh size, and is very time efficient.
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