井距估算的数值方法

Ayobami Ezekiel, Prince Oduh, E. Okoh, C. Onah, M. Ojah, S. Adewole
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摘要

本文提出了一种简便的计算井间井距的数值模型。该模型是作为用于计算压降的ei函数的替代方案而开发的。开发该模型的主要目的是使解决盗窃问题变得容易。利用开发的模型,可以更容易和准确地计算与压降有关的计算,更具体地说,井间距离。在建立该模型的过程中,对压降方程中efunction的积分方程进行了数值求解。数值解将压降方程简化为更容易求解的多项式方程。所建立的模型用于解决实际问题。将其生成的结果与先前方法获得的结果进行比较。重要的信息,如井的配置,储层的区域,以及工作有效的瞬变历史。i-函数的效度范围和值的相关性和表的发展是井测试和分析的一个重大飞跃。求解带有未知数的积分是相当麻烦的,因此,多年来一直采用试错法。然而,这种新方法将压降方程分解成一个更容易求解的多项式方程组。因此,现在可以很容易地得到可能干扰井之间的距离(这是干扰测试中的一个重要变量)。所建立的模型在i-函数的有效范围内是有效的。毫无疑问,这项工作将有助于将压降方程重新定义为一个多项式方程,这个方程可以很容易地用任何已知的方法来解决涉及多项式的问题。更重要的是,获得两口井之间的正确距离对测试至关重要。利用本工作建立的模型,井间距离的计算变得更加容易和准确。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Numerical Method of Estimating Distance Between Wells
In this study, a simpler numerical model for calculating inter-well distance was developed. This model was developed as an alternative to the Ei-function used for computing pressure drops. The mainobjective of developing this model is tomake resolution of pilfering issues easyto resolve. With the developed model, calculations relating to pressure drops and more specifically, inter-well distance, can be done with greater ease and accuracy. In developing this model, the integral equation of the Eifunction in the pressure drop equation was solved numerically. The numerical solution reduced thepressure drop equation to a polynomial equation which is much easier to solve. The developed model was used to solve real problems. Results generated from it were compared with those obtained using previous approaches. Important informationsuch as well configuration, region of the reservoir, and transient history wherethe work is valid are stated. The development of the correlations and tables forthe range of validity and values of the Ei-function is a major quantum leap in well testing and analysis. It will be quite cumbersome to resolve integrals with unknowns, hence, methods of trials and errors have been resorted to over the years. However, this new approach resolved the pressure drop equation into a systemof polynomials which is much easier to solve. Consequently, the distance betweenpossibly interfering wells (which is an important variable during interference test) can now be gotten with ease. The developed model is valid within the range of validity of the Ei-function. Without doubt, this work will help redefine the pressure drop equation into a polynomial equation which can easily be resolved using any of the known approaches to solving problems involving polynomials. More so, getting the correct distance betweenthe two wells in question is pivotal to the test. With the model developed in this work, getting inter-well distance is now easier and more accurate.
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