反演理论在试井资料解释中的应用

The Application of Inverse Theory on Well Test Analysis.

在地球物理反演的一般性原理的基础上 ,利用最小方差法实现自动拟合 ,以圆形地层不渗透边界模型为例阐述了反演理论在试井解释中的应用 ,并着重讨论了雅可比矩阵的求法。采用数值模拟方法求解模型正演问题 ,即在模型的分析解很难求出或者根本不存在的情况下也可方便地实现自动拟合 ,从而大大地扩展了反问题的求解范围。最后用两个理论模型算例和一口实测井的资料解释验证。该方法原理简单 ,易于编程实现 ,拟合速度快 ,结果精度高 ,并具有普遍性 ,可用于试井解释中的各类求参问题。

Based on the general inverse theory in geology physics,the application of inverse theory on well test analysis is discussed by using type curve auto-match method.The typical example is the circle bounded reservoir model.The Jacobi matrix calculating method is discussed also.Three examples are analyzed by sing the method in this paper.The results shows that this method is simple on theory,easy in programming,quick for auto-matching and high exact in result.This method can be used in well test interpretation in the oilfield.