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Theory of Second Order Numerical Simulation Method of Enhanced Oil Production

Author

Listed:
  • Yirang Yuan
  • Aijie Cheng
  • Danping Yang
  • Changfeng Li

Abstract

A kind of second-order implicit upwind fractional steps finite difference method is presented in this paper to numerically simulate the coupled system of enhanced (chemical) oil production in porous media. Some techniques, such as the calculus of variations, energy analysis method, commutativity of the products of difference operators, decomposition of high-order difference operators and the theory of a priori estimates are introduced and optimal order error estimates in l2 norm are derived.

Suggested Citation

  • Yirang Yuan & Aijie Cheng & Danping Yang & Changfeng Li, 2019. "Theory of Second Order Numerical Simulation Method of Enhanced Oil Production," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(2), pages 73-91, April.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:2:p:73
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    More about this item

    Keywords

    enhanced (chemical) oil production; three-dimensional porous coupled system; second-order implicit upwind fractional steps differences; optimal order l2 estimates;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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