用有限元法解热水驱油数值模拟问题

在热水驱油中，地下油藏的温度场，油、水的压力场以及它们的饱和度场均随时 间变化，并相互影响。为有效的对场变量进行数值计算。具体地建立了热水驱油的数 学模型并进行了数学处理，提出了适于迭代计算的泛函，并作了有限元离散和构造了 算法，编制了计算程序。通过一定的数值计算，说明有限元法能很好的解决油藏数值 模拟问题。

Solution to Hot Water-Driving Numerical Simulation Problems hy Finite Element Method

The temperature field of oil reservoir and the compressive force fields of oil or water as well as the saturation field of them all change with time and interact each other when the fluid in oil reservoir is driven by hot water. In this paper, in order to calculate the field variable efficiently, the mathematical model of hot water driving is created by variational method, therefore the functional method for iterative calculation is got. An algorithm is proposed based on finite element method and a computer program is made. Some numerical calculations show that the problems of oil reservoir numerical simulation can be solved effectively by means of finite element method.