摘要
The software for oil-gas transport and accumulation is to describe the history of oil-gas transport and accumulation in basin evolution. It is of great value in rational evaluation of prospecting and exploiting oil-gas resources. The mathematical model can be discribed as a coupled system of nonlinear partial differential equations with moving boundary value problem. For a generic case of the three-demensional bounded region, bi this thesis, the effects of gravitation、buoyancy and capillary pressure are considered, we put forward a kind of characteristic finite difference schemes and make use thick and thin grids to form a complete set, and of calculus of vaviations, the change of variable, the theory of prior estimates and techniques, Optimal order estimates in l^2 norm are derived for the error in approximate assumption, Thus we have completely solved the well-known theoretical problem proposed by J. Douglas, Jr.
The software for oil-gas transport and accumulation is to describe the history of oil-gas transport and accumulation in basin evolution, It is of great value in rational evaluation of prospecting and exploiting oil-gas resources. The mathematical model can be discribed as a coupled system of nonlinear partial differential equations with moving boundary value problem, For a generic case of the three-demensional. bounded region, in this thesis, the effects of gravitation、buoyancy and capillary pressure are considered, we put forward a kind of characteristic finite difference schemes and make use thick and thin grids to form a complete, set, and of calculus of vaviations, the change of variable, the theory of prior estimates and techniques. Optimal order estimates in l2 norm are derived for the error in approximate assumption. Thus we have completely solved the well-known theoretical problem proposed by J. Douglas, Jr
基金
Project supported by the National Scaling Program,the National Eighth-Five-Year Tackling Key Problem Program
the Doctoral Program Foundation of the National Education Commission
