红透山铜矿区F_(8)断层构造应力场的有限元数值模拟

Finite element numerical simulation of tectonic stress field of fault F_(8)in Hongtoushan copper mine

针对断层对周围岩石地层影响的问题,本文提出了一种有限元算法计算模拟该断层对周围地层产生的应力场和位移场。首先,根据最大主应力、中间主应力和最小主应力来研究正断层、逆断层以及走滑断层的应力状态;其次,基于弹性力学相关理论研究应力—应变关系,采用线性四面体单元有限元分析方法进行算法实现;最后,在考虑到断层两侧岩体的物理性质(弹性模量和泊松比)、断层几何形态以及边界条件等情况下,应用有限元法模拟正断层、逆断层以及走滑断层在层状岩体中产生的应力场和位移场。以红透山铜矿区F_(8)断层为例,通过地质勘探获得的资料判别该断层性质及其周围地层属性,使用本文构建的有限元算法模拟了该断层对周围地层产生的应力场和位移场。

In order to analyze the influence of the fault on the surrounding stratigraphic rock mass,we proposed a finite element algorithm to simulate the stress field and displacement field of the fault in the surrounding rock.Firstly,the stress status of normal fault,reverse fault and strike-slip fault were explored according to the maximum principal stress,intermediate principal stress and minimum principal stress.Secondly,the stress-strain relationship was analyzed based on the related theories of elastic mechanics,and realized via the linear tetrahedral element finite element analysis algorithm.Finally,considering the physical properties,i.e.elastic modulus and Poisson’s ratio of the rock mass on both sides of the fault,fault geometry and boundary conditions,the finite element method was applied to simulate the stress field and displacement field of normal fault,reverse fault and strike-slip fault in the layered rock masses.The algorithm was applied in the Hongtoushan copper mine to simulate the stress field and displacement field of the surrounding stratum caused by the fault F_(8).