数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (1): 88-96.
袁益让
YUAN Yi-Rang
摘要：
Petroleum science has made remarkable progress in organic geochemistry and in the research into the theories of petroleum origin, its transport and accumulation. In estimating the oil-gas resources of a basin, the knowledge of its evolutionary history and especially the numerical computation of fluid flow and the history of its changes under heat is vital. The mathematical model can be described as a coupled system of nonlinear
partial differentical equations with initial-boundary value problems. This thesis, from actual conditions such as the effect of fluid compressibility and the characteristic of large-scal science-engineering computalion, puts forward a kind of characteristic finite difference alternating-direction scheme. Optimal order estimates in L2 norm are derived for the error in the approximate solutions.
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