河间地区地裂缝分形特征研究

Study on fractal features of ground fissures in the area of Hejian

基于分形理论研究了河间地区地裂缝的分布分形、受控分形以及影响分形特征,利用MAT-LAB软件分别计算了地裂缝、活动断裂、地下水、地面沉降等相关物理量的分维值。地裂缝的发育具有自组织性,其分维值的大小及变化反映了地裂缝活动的复杂性。地裂缝平面、剖面分形特征反映了该区域孕裂应力场在平面和纵深方向上的非均一性。地裂缝的形成和发育可以看作是断裂运动的一种调整,影响地裂缝断裂的分维值具有一定的区间。地下水开采、地面沉降作用与地裂缝活动存在很大的关联。

Based on fractal theory, the features of distribution fractal, controlled fractal and influence fractal of ground fissures in the area of Hejian were studied. The fractal dimensions of relevant physical quantities, such as ground fissures, active fractures underground water, ground subsidence etc. , were calculated using the software MATLAB. It is found that the ground fissure development has self-organization property and its dimension and change reflect the complexity of the ground fissures. The plane and profile fractal features of the ground fissures re- flect the non-uniformity of pregnant crack stress field of the area in plane and lengthwise directions. The formation and development of ground fissures can be viewed as an adjustment of the fracture movement, whose fractal dimen- sion has a certain range. Ground fissures closely associated with groundwater exploitation and ground subsidence.