基于耦合映像格子模型的瓦斯涌出系统建模与仿真

何利文^{1, 2}，李夕兵¹，林杭¹，方前程¹

(1. 中南大学 资源与安全工程学院，湖南 长沙，410083；
2. 湘潭大学 能源工程学院，湖南 湘潭，411000)

摘 要：借助耦合映像格子模型，选取瓦斯压力的平方作为状态场变量，对瓦斯涌出时空混沌动力系统建立瓦斯涌出耦合映像格子模型，并分别选取空间扩散系数0.1，0.5和0.9对该模型进行了数值模拟，分别得到了从有序到无序3种不同的瓦斯涌出时空行为发展图。从瓦斯涌出的时空行为发展图可以看出：随着空间扩散系数的不断增大，瓦斯涌出变得越来越复杂。因此，可以采取降低空间扩散系数中相关影响因数的方法，使瓦斯涌出规律向有序的方向发展，这样有助于有针对性地采取措施防治瓦斯灾害。

关键词：耦合映像格子；瓦斯涌出；建模；仿真；时空混沌

Modeling and simulation of gas emission system based on CML model

HE Li-wen^{1, 2}, LI Xi-bing¹, LIN Hang¹, FANG Qian-cheng¹

(1. School of Resource and Safety Engineering, Central South University, Changsha 410083, China;
2. School of Energy Engineering, Xiangtan University, Xiangtan 411100, China)

Abstract:Square of gas pressure was selected as a variable of status field, and the CML model about gas emission was built. Simulation research about gas emission system was processed by selecting the different space diffusion coefficient, and three different spatio-temporal behavior development diagrams of actual system were qualitatively simulated. Judging by three different diagrams, gas emission is increasing its complexity with the continuous increase of space diffusion coefficient. Consequently, reducing affecting factor of space diffusion coefficient was adopted, which makes gas emission law more ordered. It is conducive to take pertinent measures to prevent gas disaster.

Key words:CML; gas emission; modeling; simulation; spatio-temporal chaos