A New Approach for Estimating Rock Discontinuity Trace Intensity Based on Rectangular Sampling Windows
Trace intensity is defined as mean total trace length of discontinuities per unit area, which is an important geometric parameter to describe fracture networks. The probability of each trace appearing in the sampling surface is different since discontinuity orientation has a scatter and is probabili...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/8834861 |
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| author | Xiaoxue Huo Qiong Wu Huiming Tang Zhen Meng Di Wang Yuxin Liu Shiyu Li |
| author_facet | Xiaoxue Huo Qiong Wu Huiming Tang Zhen Meng Di Wang Yuxin Liu Shiyu Li |
| author_sort | Xiaoxue Huo |
| collection | DOAJ |
| description | Trace intensity is defined as mean total trace length of discontinuities per unit area, which is an important geometric parameter to describe fracture networks. The probability of each trace appearing in the sampling surface is different since discontinuity orientation has a scatter and is probabilistically distributed, so this factor should be taken into account in trace intensity estimation. This paper presents an approach to estimate the two-dimensional trace intensity by considering unequal appearing probability for discontinuities sampled by rectangular windows. The estimation method requires the number of discontinuities intersecting the window, the appearing probability of discontinuities with both ends observed, one end observed, and both ends censored, and the mean trace length of discontinuities intersecting the window. The new estimator is validated by using discontinuity data from an outcrop in Wenchuan area in China. Similarly, circular windows are used along with Mauldon’s equation to calculate trace intensity using discontinuity trace data of the same outcrop as a contrast. Results indicate that the proposed new method based on rectangular windows shows close accuracy and less variability than that of the method based on circular windows due to the influence of finite sample size and the variability of location of the window and has advantage in application to sampling surfaces longer in one direction than in the other such as tunnel cross sections and curved sampling surfaces such as outcrops that show some curvature. |
| format | Article |
| id | doaj-art-23cf900021a448b58dc5bc63219e4968 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-23cf900021a448b58dc5bc63219e49682025-02-03T06:43:37ZengWileyAdvances in Civil Engineering1687-80861687-80942020-01-01202010.1155/2020/88348618834861A New Approach for Estimating Rock Discontinuity Trace Intensity Based on Rectangular Sampling WindowsXiaoxue Huo0Qiong Wu1Huiming Tang2Zhen Meng3Di Wang4Yuxin Liu5Shiyu Li6Faculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaFaculty of Engineering, China University of Geosciences, Wuhan 430074, ChinaTrace intensity is defined as mean total trace length of discontinuities per unit area, which is an important geometric parameter to describe fracture networks. The probability of each trace appearing in the sampling surface is different since discontinuity orientation has a scatter and is probabilistically distributed, so this factor should be taken into account in trace intensity estimation. This paper presents an approach to estimate the two-dimensional trace intensity by considering unequal appearing probability for discontinuities sampled by rectangular windows. The estimation method requires the number of discontinuities intersecting the window, the appearing probability of discontinuities with both ends observed, one end observed, and both ends censored, and the mean trace length of discontinuities intersecting the window. The new estimator is validated by using discontinuity data from an outcrop in Wenchuan area in China. Similarly, circular windows are used along with Mauldon’s equation to calculate trace intensity using discontinuity trace data of the same outcrop as a contrast. Results indicate that the proposed new method based on rectangular windows shows close accuracy and less variability than that of the method based on circular windows due to the influence of finite sample size and the variability of location of the window and has advantage in application to sampling surfaces longer in one direction than in the other such as tunnel cross sections and curved sampling surfaces such as outcrops that show some curvature.http://dx.doi.org/10.1155/2020/8834861 |
| spellingShingle | Xiaoxue Huo Qiong Wu Huiming Tang Zhen Meng Di Wang Yuxin Liu Shiyu Li A New Approach for Estimating Rock Discontinuity Trace Intensity Based on Rectangular Sampling Windows Advances in Civil Engineering |
| title | A New Approach for Estimating Rock Discontinuity Trace Intensity Based on Rectangular Sampling Windows |
| title_full | A New Approach for Estimating Rock Discontinuity Trace Intensity Based on Rectangular Sampling Windows |
| title_fullStr | A New Approach for Estimating Rock Discontinuity Trace Intensity Based on Rectangular Sampling Windows |
| title_full_unstemmed | A New Approach for Estimating Rock Discontinuity Trace Intensity Based on Rectangular Sampling Windows |
| title_short | A New Approach for Estimating Rock Discontinuity Trace Intensity Based on Rectangular Sampling Windows |
| title_sort | new approach for estimating rock discontinuity trace intensity based on rectangular sampling windows |
| url | http://dx.doi.org/10.1155/2020/8834861 |
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