论文部分内容阅读
当地层压力真正降到初始值时，通过多孔介质的真实气体改进解析解，使用目前正应用于石油和天然气工业中的真实气体势函数并不能得到正确解。为了解决此问题，本文提出了一个新的真实气体势。考虑到流体和岩石特性，如气体粘度、压缩系数、孔隙度和渗透率随压力变化的影响。本文完成了关于不恒定扩散系数的改进数学推导，并且获得了解析解。对多级流量和多井系统以及任何形状的封闭油藏的解，通过迭加原理和不稳定有限方法成功地推导出。通过与有限差分相比较，解析解的正确性已达到满意的结果。由本文提出的解析解所计算的地层压力和气井中的流动井底压力比以前文献中采用的其它解析方法计算的更准确。
When the formation pressure actually drops to the initial value, the correct solution is obtained by using the real gas potential in porous media to improve the analytical solution and using the real gas potential function currently used in the oil and gas industry. In order to solve this problem, this paper presents a new real gas potential. Taking into account the fluid and rock properties, such as gas viscosity, compressibility, porosity and permeability with the pressure changes. In this paper, an improved mathematical derivation of non-constant diffusion coefficient has been completed and an analytical solution has been obtained. Solutions to multistage flow and multiwell systems and closed reservoirs of any shape are successfully derived by the superposition principle and the finite instability method. Compared with the finite difference, the correctness of the analytical solution has reached satisfactory results. The formation pressure calculated by the analytical solution proposed in this paper and the flow bottom hole pressure in the gas well are more accurately calculated than the other analytical methods used in the literature.