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저류층 수치해석의 효율성을 높이기 위한 새로운 방법에 대한 연구

An Improved Method for the Computing Efficiency in Numerical Reservoir Simulator

HWAHAK KONGHAK, October 1989, 27(5), 704-711(8), NONE
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Abstract

5점 유한차분법의 1점 Upstream방법은 불리한 이동율 또는 피스톤 형태 대체 이동과 같은 저류층에서는 격자 방향성에 의한 오차 때문에 신빙성있는 수치해석을 할 수 없다. 9점 유한차분법은 이러한 격자 방향성 오차가 거의 없는 비교적 정확한 수치해석을 할 수 있으나 전산 수행시간이 많이 소요된다. 따라서 본 연구에서는 9점 유한차분법의 결점을 보완하기 위하여 새로운 방법 즉, 5점 유한차분법의 3점 Upstream 방법을 개발하였다. 새로운 방법의 효율성을 입증하기 위하여 5점 배열형태의 저류층을 사용하여 블리한 이동율 및 피스톤 형태 대체이동 문제에 적용시킨 결과, 3점 Upstream 방법의 전산 수행시간은 9점 유한차분접 보다는 빠르고 그 정확성은 비슷하였다.
The single point upstream method, which is based on five point finite difference techniques, causes a problem of the grid orientation in predicting the recovery performance for severe condition like an unfavorable mobili-ty ratio, piston type displacement. The nine point method has been developed to reduce inaccuracy caused by the grid orientation. Although this method shows noticeable improvements over the orientation effects, it requires more computational time than the five point method. Therefore to increase the computing efficiency of reservoir simulation with keeping the same degree of accuracy, the five point method using three point upstream scheme is introuced in this study. To test the validity of the new method, the various confined five spot flood patterns such as unfavorable mobility ratio and piston type displacements have been employed. The results evaluated by three point upstream scheme are in the similar level of numerical accuracy, but take much less computational time than the nine point simulator.

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