摘要
盆地模拟是计算石油生成量的基础。Yükler方程(即超压方程)是盆地模拟的数学模型之一。文章首先引入变换,将原始模型化为标准非线性抛物型方程,然后在适当的空间里,用Galerkin方法证明了具有边界条的Yükler方程解的存在唯一性(这里(?)Ω_1是(?)Ω的闭子集,(?)Ω_2=(?)Ω\(?)Ω_1),为利用这一模型方程进行盆地模拟奠定了理论基础。
The Yükler equation is one of the mathematical model for the basin imitation which is essential to calculating the growth quantity of oil. A transformation is introduced to turn the equation to a standard parabolic equation with boundary conditions, here Ω_1 is a close subset of Ω and Ω_2= Ω\Ω_1. The existance and uniqueness of the solution to the equation is proved with Galerkin method. The result providesa theoretical basis for the model for basin imitation.
出处
《江汉石油学院学报》
CSCD
北大核心
1991年第1期89-95,共7页
Journal of Jianghan Petroleum Institute
关键词
数学地质学
盆地模拟
Yukler方程
mathematical geology
petroliferous basin
mathematical model
Yükler equation
Galerkin method
convergence
existence
uniqueness
