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本文用较新的方法,建立了无限大均质储层(具有井筒储存和表皮效应井)压力分布的数学模型,解出了地层内各点处压力分布的精确解析解,画出了储层内压力分布剖面图,并且推出了井壁处压力及压力导数的可应用的理论表达式。在实际应用方面,根据上述理论研究给出了压力和压力一阶导数、二阶导数试井样板曲线图,分析了对压力和压力导数理论曲线形态的影响因素,揭示了Gringarten等人均质储层中具有井筒储存和表皮效应井的样板曲线图的理论,并且进一步提出了应用压力二阶导数进行试井分析的的新方法。
In this paper, the mathematical model of the pressure distribution in an infinitely homogeneous reservoir (with wellbore storage and epidermal well) is established by a newer method, and the exact analytical solution of the pressure distribution at each point in the formation is solved. The reservoir Section of the internal pressure distribution and introduces the applicable theoretical expression of pressure and pressure derivatives at the wellbore. In practical application, according to the above theoretical study, pressure and pressure first-order derivative and second-order derivative well test curve are given. Influencing factors on the pressure and pressure derivative theoretical curve shape are analyzed. It is revealed that Gringarten et al. Homogeneous reservoir In the wellbore storage and epidermal wells, and further proposed a new method of well testing using pressure second derivative.