MATLAB在复杂地质区域地应力反演中的应用

Application of MATLAB in the In-situ Stress Inverse Analysis

地应力场反演工作是深部矿井安全有序、高效生产的重要基础工作之一。为了提升复杂地质区域地应力场的建模和反演速度,利用MATLAB特性将其"胶水式"地应用于地应力场反演过程,减少手动干预的影响,主要开展了以下工作:(1)利用MATLAB编制了模型搜索程序,快速找寻到与工程现场实测测点对应的数值模型中ZONE单元编号及位置;(2)根据主应力、正-剪应力的相互关系,编写了基于MATLAB的二者转换模块,实现了由主应力向正-剪应力的快速变换;(3)利用MATLAB中的regress模块,建立了地应力反演的多元线性回归模型,求解得到的判定系数达到88.26%(1为最大),从而实现了对初始地应力场的重构,为矿井后期的开采设计、安全分析提供依据。结果表明,MATLAB的应用使整个反演与重构过程实现了无缝衔接,大大减少了人工工作量,杜绝了大量数据人工处理带来的误差,提高了工作效率。

The work of in-situ stress field inversion is one of the most important basic work in the deep mine,and critical to the high efficient production and mine safety. The Multiple Linear Regression（ MLR） model of MATLAB can be used to solve linear regression about in-situ stress inversion model and other aspects. In this paper,application of MATLAB can be summarized as three aspects,（ 1） MATLAB is used to work out model search procedure and to quickly find ZONE ID in the numerical model corresponding to field testing location;（ 2） according to the relationship of principal and shear stress,the conversion module based on MATLAB was coded,so as to realize the rapid conversion;（ 3） by using the regress model of MATLAB,the in-situ stress inversion model is constructed,the correlation coefficient is up to 88. 26%（ 1 is the largest）,so as to realize the reconstruction of the initial stress field,providing bases for the later mine exploration design and safety analysis. The result shows that the application of MATLAB has realized seamless integration of the inversion and reconstruction process and greatly reduced the manual workload and the errors resulted from manual handling of data,so that the modeling efficiency has been improved obviously.