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为提高开采初期油藏数值模拟的准确度,从非稳态平面径向渗流出发,推导出了适用于可压缩油藏中的非稳态井模型.该模型求解方法是将数值解法与解析解法相结合,利用非稳态渗流方程,得出井流量与井底压力及井所在网格压力之间的关系式.对于给出的算例,分别采用所提出的模型、Peaceman井模型及平面径向流方程求解井流量.对比表明:在计算初期,本文所提出的模型计算结果与解析解相一致,比Peaceman模型更加准确.随着时间的推进,流体流动趋于稳态,本文提出的井模型与Peaceman井模型计算结果均与解析解相符.本研究对于完善油藏数值模拟中井模型的选择具有重要意义.
In order to improve the accuracy of reservoir numerical simulation in the early stage of mining, an unsteady well model suitable for compressible reservoirs is derived from the non-steady-state plane radial seepage.The numerical solution and analytical solution , We use the unsteady seepage equation to get the relationship between well flow and bottom hole pressure and the pressure of the grid where the well is located.For the given examples, we use the proposed model, the Peaceman well model and the plane radial Flow equations are used to calculate the well flow rate. The comparison shows that in the initial stage of calculation, the model proposed in this paper is consistent with the analytical solution and more accurate than the Peaceman model. With the passage of time, the fluid flow tends to steady state. And Peaceman well model are consistent with analytic solutions.The study is of great significance to improve the selection of well model in reservoir numerical simulation.