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最近几年,水平井在油、气藏的原油生产中起着越来越重要的作用。在多种情况下,这种井大大地提高了油井的产能,而油藏工程师们在分析和预测水平井的特征过程中也遇到了难以解释的问题。特别是压力不稳定测试井资料的分析和产量下降特征的预测都不是用简单的方法就可以做得到的,其原因是复杂系统的几何构形所造成的;也就是说,压力和产量特征受油藏边界、各向异性、水平井长度、油井在油藏中的位置等因素的影响。我们的主要目的是论述产生水平井压力和产量响应的简单有效的算法。它有助于对这类复杂系统进行分析和预测。我们已经知道,在有限大各向异性的封闭长方形油藏中,均匀流动水平井的压力响应的解析解,这在以前发表的几篇文章中已得到证实。涉及三个无穷级数乘积的精确解(稳定产量)需要很大的计算工作量进行估计(假设不仔细处确)。这篇文章的第一个目标是指明如何应用较小的计算量去精确地求得整个时间范围内的解(在容量为20MHz386DX的IBM计算机上进行计算,包括12个对数周期的所有流动状态的压力数据在9s内完成)。
In recent years, horizontal wells play an increasingly important role in the production of crude oil from oil and gas reservoirs. In many cases, such wells have greatly increased well productivity, and reservoir engineers have encountered hard-to-interpret problems in characterizing and predicting horizontal wells. In particular, the analysis of data from stress-lab test wells and the prediction of yield reduction features are not readily available because of the complex geometry of the system; that is, the pressure and yield characteristics are affected by Reservoir boundaries, anisotropy, horizontal well length, well location in the reservoir and other factors. Our main goal is to discuss simple and efficient algorithms that produce horizontal well pressure and yield response. It helps to analyze and predict such complex systems. We have already seen that the analytical solution of the pressure response of a horizontal well with uniform flow in a closed anisotropic trapped rectangular reservoir has been demonstrated in several previously published articles. An exact solution (stable yield) involving the product of three infinite series requires a large computational effort to estimate (assuming it is not carefully). The first goal of this article is to show how to apply a small amount of computation to find exactly the solution over the entire time frame (calculated on an IBM computer with 20MHz386DX capacity, including all 12-cycle, The pressure data is completed in 9s).