岩心3维模型形状分布刻画

Shape Distribution Depicting Algorithm of 3D Rock Models

为了解决岩心3维模型难以准确刻画和比较的问题,提出一种岩心形状分布算法。根据边界点对连线与目标相的穿透关系,将形状分布D2距离直方图分类为内嵌、外接、联合3种状态,分别刻画孔隙骨架结构,并利用分类发生频率刻画孔隙骨架分布情况,提取岩心形态特征描述符。在统计足量随机边界点对之后,生成概率分布函数。最后,给出量化比较岩心3维模型形态相似性的方法。对多组岩样进行实验,岩心形状分布算法的形态相似性量化结果同设定相一致,表明该算法能够有效提取岩心形态特征并量化比较形状相似性,具有比原有形状分布算法和统计特征函数更为准确的刻画和比较能力。

In order to solve the problem that the three-dimensional( 3D) rock models could not be accurately depicted,a rock shape distribution algorithm was proposed. According to the penetration relationship between the lines of two random boundary pixels and target phase,the shape distribution D2 distance histogram was classified into three categories of in,out and united. The three histograms represented the structure of pore and grain,respectively. The classified occurring frequency was used to describe the distributions of pore and grain. Shape feature descriptor was extracted by three histograms. After counting abundant pairs of random boundary pixels,the probability distribution function could be generated. As the last step,the quantization method which was utilized to measure geometrical similarity between each 3D rock models was also suggested. The algorithm was tested on numerous 3D rock samples. The results of quantity of geometrical similarity that generated by the rock shape distribution were matching with setting,which showed that this algorithm could feasibly extract the geometry feature descriptors from 3D rock models and compared the geometrical similarity between each 3D rock models. The depicting and comparing ability of this algorithm were exacter than statistical characteristic function and previous shape distribution.