2013 1(12)

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Mazo A.B., Potashev K.A., Kalinin E.I.

Kazan (Volga Region) Federal University, Kazan, Russia


Mazo, A.B., Potashev, K.A. and Kalinin, E.I., (2013) Super element method of petroleum reservoir simulation, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(12), PP. 237 - 243.


oil reservoir simulation; two-phase flow in porous media; coarse unstructured grids; super element method


In present work a new effective method of petroleum reservoir simulation is presented. The method is based on a numerical solution of 3D two-phase filtration flow equations on coarse unstructured grids. Each grid cell represents a 3D superelement which is bounded by a Voronoi cell around a well projection in a horizontal plane (200 – 400 m. across) and by borders of a geological pack in a vertical direction. Such grid is appropriate to represent average pressure and saturation fields with a sufficient accuracy and promotes hundredfold increase in a computational time as compared to the detailed solvers. A sufficient accuracy of calculation results is provided by upscaling of reservoir properties and by utilization of detailed embedded grids in areas of high pressure gradients (near well bores, geological faults, hydraulic fractures). The superelement method has been successfully used for modeling of a number of real petroleum reservoirs. The comparison of results gained by presented method versus results of detailed grid simulation confirmed wide computational opportunities of the superelement method which provides hundredfold increase of calculation performance and doesn’t entail large computational error.


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