预估—校正算法模拟钻孔瓦斯径向流动  

Simulation of radial gas flow from boreholes by prediction-correction algorithm

作　　者：雷文杰[1] 王昭[1] 

机构地区：[1]河南理工大学安全科学与工程学院,河南焦作454000

出　　处：《辽宁工程技术大学学报（自然科学版）》2014年第11期1441-1446,共6页Journal of Liaoning Technical University (Natural Science)

基　　金：河南省杰出青年计划基金资助项目(104100510002)

摘　　要：以瓦斯径向非线性流动理论为基础,对钻孔径向物理网格均匀化处理,选取预估—校正差分算法推导线性差分方程组,获得钻孔径向瓦斯压力分布曲线,比较物理网格和网格均匀化差分迭代的计算误差.为使钻孔径向瓦斯压力分布曲线光滑、降低差分迭代的计算误差,选取拉伸-压缩变换函数使钻孔周边自然生成的非均匀物理网格经过对数变换变成均匀的计算网格,选取预估—校正平均稳式差分算法推导径向瓦斯不稳定流动线性差分方程组,并模拟不同透气性、不同时间钻孔径向瓦斯压力分布;钻孔径向6 m范围内物理网格与网格均匀化瓦斯压力最大差值达到1 MPa.Based on the non-linear theory of radial gas flow, this paper tumed the radial physical grid ofboreholes into the uniform grid, then selected the prediction-correction algorithm and derived the linear difference equation set, obtained the curves of gas pressure distribution from the radial boreholes, and compared the iterative calculation error between the physical grid and grid homogenization. In order to make the curves of gas pressure distribution from the radial boreholes smoother, this study lowered the iterative calculation error, chose the stretch-compression transformation function and turned the non-uniform physical grid which generate naturally surrounding the boreholes into uniform computing grid through logarithmic transformation; chose the prediction-correction algorithm and derived the linear difference equation set of the radial unsteady gas flow, and simulated the radial gas pressure distribution of different time and different permeability. Within six meters of radial boreholes, the maximum difference of gas pressure between the physical grid and the uniform grid can reach 1MPa.

关 键 词：径向不稳定流动 定解条件 差分方程组 拉伸-压缩对数变换 物理网格均匀化 预估—校正算法 压力变化曲线 误差分析 

分 类 号：TD76[矿业工程—矿井通风与安全]