摘要
在渗流力学、试井分析等研究中,Laplace变换能够让复杂的工程问题引出的偏微分方程形式上简化,经对Laplace空间下的解进行数值反演,使这些复杂的工程问题得到解决。因此,Laplace变换以及数值反演在油气田开发工程中有着广泛的应用。Stehfest算法由于具有结构简单、不涉及复数运算、编程简单易行等特点,在石油相关行业中广泛应用。现将一些函数的真实值与其象函数通过Stehfest算法反演得到结果进行了对比,得到该算法在反演一些函数时结果并不理想。建议慎重使用Stehfest算法,以免被算法带来的误差所误导。
In the research of fluid mechanics in porous medium and well testing analysis,Laplace transform can make the formations of partial differential equations derived by complex engineering problems to be simple,and by numerical inversion to its solution in space of Laplace,those comprehensive problems are solved.So,Lapalce transform and numerical inversion has a wide range of applications in exploiting engineering of oilfield.For simple structure of the Stehfest algorithm,and having features of no computation,simple programming,it is undoubtedly applied in industrial field widely.Now,compared of the true value of some function to result obtained by Stehfest algorithm inversion of its like functions,the results obtained in the algorithm do not affect some functions when the inversion.It is suggested that Stehfest algorithm is used caution to avoid being misled by the error caused by the algorithm.
出处
《油气井测试》
2015年第4期18-20,75-76,共3页
Well Testing
