外边界定压试井分析有效井径模型及其样版曲线

试井分析中,外边界定压问题是一大类重要问题,本文在考虑了表皮效应和井筒储存效应后,建立了较严格的均质、水平、等厚圆形地层、外边界定压,中心一口井,开井生产井底压力变化的有效井径数学模型,并导出了拉氏空间解,通过数值反演,算出了此类问题的现代试井分析样版曲线,用于实例分析,结果准确、可靠。

EFFECTIVE WELLBORE RADIUS MODEL WITH CONSTANT PRESSURE AT EXTERNAL BOUNDARY AND ITS TYPE-CURVES IN WELL TEST ANALYSIS

One of the main problems in well test analysis is that of constant pressure at external boundary. Having considered the wellbore storage and skin effects, this paper sets up a rigorous effective wellbore radius mathematical model, which is suitable for the homogeneous and isotopic porous medium and the circular reservoir with constant pressure at external boundary, and gives out a solution to this model in Laplace transform. Through numerical reversion, this paper calculates type-curves for this problem. The results obtained are accurate and reliable.