基于数字图像的非均质岩土工程材料的数值分析方法

提出了一种基于数字图像的非均质岩土工程结构的二维数值分析方法。以花岗岩为例,先将岩石的表面图像导入计算机中;然后采用基于彩色空间的数字图像技术将组成花岗岩的几种主要材料:长石、石英和黑云母一一分辨出来并再现岩石的细观结构;再通过一个简单的线性转换,将图像细观结构转换为矢量细观结构;最后,岩石的矢量细观结构可以与数值计算方法--有限元法或有限差分法结合,从而实现非均质岩石材料的力学分析。采用有限差分法FLAC程序来分析岩石的破坏过程。传统室内试验数值模拟表明材料的细观结构对应力分布和破坏模式有着明显的影响,基于数字图像的数值分析方法可以真实地实现岩土工程材料的非均质分析。

Digital image based numerical modeling method for heterogeneous geomaterials

A two-dimensional digital image based on numerical modeling method for heterogeneous geomaterials was presented. The granite was used as an example for the present investigation. First, the actual heterogeneities of granitic rock surface were extracted from color image by applying image processing techniques. Then a simple linear transformation was proposed to transform the actual image data into vector square data for generation of finite meshes or grids. Finally, the vector data were incorporated into the traditional numerical methods, such as finite element method and finite difference method for numerical simulations. A finite difference software package FLAC was used to study the rock failure process. Three typical laboratory tests were simulated to examine the influences of material heterogeneities on stress distribution and failure patterns. Numerical results show that digital image based numerical modeling method can be used to calculate the mechanical responses of geomaterials by taking their heterogeneities into considerations.