化学驱模型中压力方程的交替方向解法改进
Improvement on the solution of pressure equation based on alternating direction in chemical flooding model

摘要： 以国内外化学驱数值模拟的主要数学模型为基础,提出了相压力方程的改进的交替方向迭代算法。构造了三维抛物方程的交替方向迭代格式,并对于油藏数值模拟模型中常见的第二类边界条件以及实际地质模型中强非均质的情况,提出了新的迭代参数计算方法。基于胜利油田自主知识产权化学驱数值模拟软件SLCHEM进行了算法的代码实现,通过实际矿场模型的算例测试表明,新构造的交替方向迭代算法相比原来的预处理共轭梯度类算法提高计算速度16%以上,计算精度满足矿场应用要求。
Abstract: Based on the general chemical flooding mathematical model for numerical simulation at home and abroad, an improved alternating direction iterative algorithm for solving phase pressure equation is proposed. An alternating direction iterative scheme for three dimensional parabolic equations is constructed, and a new calculation method for the iterative parameters is proposed with the second kind boundary condition and strong heterogeneous condition which is common in reservoir simulation model and practical geological model. The numerical algorithm is realized with SLCHEM, which is a simulation software of Shengli oilfield with independent intellectual property rights. Examples tests of actual field models show that the new structure of the alternating direction iterative algorithm improves the computational speed by more than 16% compared to the original preconditioned conjugate gradient algorithm, and the calculation accuracy could meet the application demand