Analysis on quantitative data of discontinuities : automatic clustering & spacing distribution

Abstract

A study of quantitative data of discontinuities has been carried out to investigate more on joint orientation clustering and analyze the distribution of joint spacing. The objective of the study was to review and analyze different clustering methods for discontinuity and then compare some of the reviewed algorithms with commonly used programmes such as DIPS. For the joint spacing data, probability density graphs will be plotted. Data has been obtained by rock joint surveys in Ap Lei Chau, Cape Collinson, Lung Ha Wan and Wah King Hill Road. The data are presented in the form of different stereonet plots and probability density graphs. Raw data are presented in the Microsoft Excel attached in the Appendices. The orientation data have been interpreted in relation to the K-means algorithm with MATLAB programme and then compare the results with DIPS programme. The spacing data have been interpreted in relation to different distribution type. It is concluded that K-means algorithm can accurately perform automatic clustering compare with other commonly used programmes. Also, the joint spacing data shows in a distribution type similar to negative exponential and further study is required. It is hoped that the dissertation will help practitioners to see the importance and the usefulness of automatic clustering algorithms of rock discontinuities and increase interest on distribution of joint spacing.