煤基质形状因子理论探讨

The theory solution of matrix factor in coalbed reservoir

煤基质形状因子是研究煤层气扩散速率及数值模拟的重要参数,研究不同几何形态下的煤基质形状因子具有重要意义。通过求解煤层气扩散的定解问题,并假定时间无限长的条件下,将时变的形状因子简化为常量形状因子,从而推导出板状、柱状和球状基质的形状因子表达式,并指出这3种几何形态的形状因子值存在显著差异。

Coal matrix shape factor is an important parameter in studying numerical simulation and diffusion rate, so doing research on shape factor of different shape and size of matrix is meaningful. With assumption that the diffusion time is very long, the time-dependent factor is simplified to constant, so the expressions of factors of plate-like, columnar and spherical coal matrix, are obtained by solving diffusion equation in initial and boundary conditions. At the end, the conclusion is that the values of the three kinds of geometric shape present significant difference.