两个油藏模型特征数值模拟算法的结果比较

使用双Level Set方法重新表示油藏模型特征中的渗透率,并且渗透率可以通过解一个转化过的最优化问题得到.这个最优化问题是一个无限制的Lagrangian型鞍点问题.在复杂区域的数值模拟表明使用算子分裂格式的Uzawas算法解这个鞍点问题比使用梯度下降格式的Uzawas算法高效稳定.

A New Algorithm for the Simulation of Reservoir Model Characterization

In This paper,The permeability of reservoir model is represented by bilinear level set function.Such a characterization can be solved from a transformed optimization problem by finding the saddle point of Lagrangian functional.New operator splitting scheme of Uzawas algorithm is obtained comparison with gradient scheme of Uzawas algorithm in the previous work.Numerical example shows that the new algorithm is more stable and efficient than that.