Joint Rock Coefficient Estimation Based on Hausdorff Dimension  

作　　者：Dalibor Martisek 

机构地区：[1]Institute of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Brno, Czech Republic

出　　处：《Advances in Pure Mathematics》2017年第11期615-640,共26页理论数学进展（英文）

基　　金：The Project LO1202 by financial means from the Ministry of Education, Youth ； Sports under the National Sustainability Programme I

摘　　要：The strength of rock structures strongly depends inter alia on surface irregularities of rock joints. These irregularities are characterized by a coefficient of joint roughness. For its estimation, visual comparison is often used. This is rather a subjective method, therefore, fully computerized image recognition procedures were proposed. However, many of them contain imperfections, some of them even mathematical nonsenses and their application can be very dangerous in technical practice. In this paper, we recommend mathematically correct method of fully automatic estimation of the joint roughness coefficient. This method requires only the Barton profiles as a standard.The strength of rock structures strongly depends inter alia on surface irregularities of rock joints. These irregularities are characterized by a coefficient of joint roughness. For its estimation, visual comparison is often used. This is rather a subjective method, therefore, fully computerized image recognition procedures were proposed. However, many of them contain imperfections, some of them even mathematical nonsenses and their application can be very dangerous in technical practice. In this paper, we recommend mathematically correct method of fully automatic estimation of the joint roughness coefficient. This method requires only the Barton profiles as a standard.

关 键 词：Hausdorff Dimension SELF-SIMILARITY SELF-AFFINITY Box Counting Method Power Function Method Barton Profile JRC Index 

分 类 号：O1[理学—数学]