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【期刊论文】油藏盆地发育数值模拟中的偏数分方程组的有限元法和理论分析*
王文洽, 袁益让, 羊丹平
系统科学与数学,1994,14(1):9~20,-0001,():
-1年11月30日
Petrodleum origin and accumulation in basin evolution is governed by a system of nonlinear partial differential equations. The mathematical model considered comprises (1) fluid flow (2) heat transport (3) porosity of the media. The pressure, Darcy velocity and temperature are approximated by the finite element method. Optimalorder convergence in L2 and H1 is proved.
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【期刊论文】油、水两相渗流驱动问题的离散算子法及其数值分析*
王文洽, 袁益让
应用数学学报,1986,9(3):296~308,-0001,():
-1年11月30日
Infusing water into oil reservoir by high-pressure pump to squeeze the oil residual out of oil wells is a problem of two-phase immiscible flow displacement. The mathematical model of the problem is the initial bocmdary problem of systems of partial differential eqastions. We set up some computation schemes of the discrete operator method, and study approximation and convergence theory. Computation of the model problem yielded satisfactory results.
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