论文部分内容阅读
当地层压力降低到远小于原始压力时,目前用于油气工业中的真实气体势函数不能求得有效解。为了解决这个问题,提出了一个新的真实气体势函数。此函数考虑了与压力有关的岩石和流体物性参数(如气体粘度、压缩系数、岩石孔隙度和渗透率)的影响,完成了关于非恒定水力扩散系数数学推导,获得解析解。利用迭加原理和不稳定态边界限制技术,成功地推导出多流量和多井系统、以及任意形状封闭储层的解析解。将其与有限差分模拟解进行比较,可以充分验证此解析解的有效性。利用本文提出的解析解计算气井的地层压力和井底流动压力,比以前文章中所用的解析法所得到的结果还要准确。
When the formation pressure is reduced to much less than the original pressure, the real gas potential functions currently used in the oil and gas industry can not be solved effectively. In order to solve this problem, a new real gas potential function is proposed. This function takes into account the influence of pressure-related petrophysical parameters of rocks and fluids such as gas viscosity, compressibility, rock porosity and permeability and completes the mathematical derivation of unsteady hydraulic diffusivity and obtains analytic solutions. By using the principle of superposition and the boundary-state of unstable states, the multi-flow and multi-well system and the analytic solution of a closed reservoir with arbitrary shape are successfully deduced. Comparing this with the finite difference simulation solution can fully verify the validity of this analytical solution. Using the analytic solution proposed in this paper to calculate the formation pressure and bottom hole flow pressure in a gas well is more accurate than the analytical solution used in the previous article.