Coalbed methane (CBM) reservoir simulation is vital in CBM development. Production of CBM is controlled by a three-step process: gas desorption from the coal matrix, gas diffusion to the cleat system, and gas flow through fractures. This process follows the Langmuir's law, Fick's first law and Darcy's law. In this work, we suggested a three-dimensional, dual-porosity, two-phase, pseudo-steady, non-equilibrium sorption mathematical model for overall progresses from desorption to flow by the help of petroleum reservoir numerical simulation method and this complex mathematical model is approximated and solved by finite-difference and fully implicit method. The CBM reservoir simulation software, CBMRS 1.0 in Korean interface was developed by C++. It was compared with COMET 3D and evaluated and it could be exclusive software for CBM reservoir simulation.

煤层气（CBM）储层模拟对于煤层气的开发至关重要。煤层气的生产通过三步过程控制：瓦斯从煤基质中解吸，瓦斯扩散到割理系统以及瓦斯流过裂缝。此过程遵循朗缪尔定律，菲克第一定律和达西定律。在这项工作中，我们提出了一个三维，双孔隙，两相，拟稳态，非平衡吸附数学模型，借助石油储层数值模拟方法和这种复杂的数学模型，可以对从解吸到流动的整体过程进行建模。通过有限差分和完全隐式方法近似和求解。C ++开发了韩文界面的CBM储层模拟软件CBMRS 1.0。