Correction of Line-Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method
The Terzaghi method is widely used to correct the line-sampling bias of rock discontinuity orientations. The method includes four procedures, one of which is meshing the stereographic projection diagram into cells. The method is based on the bias-compensatory factor, 1/sin θ, where θ is the angle be...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/1629039 |
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| author | Huiming Tang Junrong Zhang Lei Huang Changbin Yan Shengming Hu Mutasim Adam Mohamed Ez Eldin |
| author_facet | Huiming Tang Junrong Zhang Lei Huang Changbin Yan Shengming Hu Mutasim Adam Mohamed Ez Eldin |
| author_sort | Huiming Tang |
| collection | DOAJ |
| description | The Terzaghi method is widely used to correct the line-sampling bias of rock discontinuity orientations. The method includes four procedures, one of which is meshing the stereographic projection diagram into cells. The method is based on the bias-compensatory factor, 1/sin θ, where θ is the angle between the scanline and the discontinuity defined at each cell center. This paper presents a modified Terzaghi method that eliminates meshing, thereby reducing the method to three steps that (1) count the frequencies, (2) weigh the frequencies by the bias-compensatory factor, and (3) round the weighed frequencies to the nearest integer. Due to the elimination of the mesh, the counting object has changed to the frequency at each pole, and θ in the bias-compensatory factor is redefined as the angle between the scanline and the discontinuity at each pole. The applicability of the redefined bias-compensatory factor is verified through a mathematical logical deduction. The accuracy of the conventional and the modified Terzaghi methods are compared using a case study in Wenchuan, China, revealing improved accuracy for the latter. |
| format | Article |
| id | doaj-art-32b9ab014376485587b1662a8e2c1723 |
| institution | Kabale University |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-32b9ab014376485587b1662a8e2c17232025-02-03T06:12:34ZengWileyAdvances in Civil Engineering1687-80861687-80942018-01-01201810.1155/2018/16290391629039Correction of Line-Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi MethodHuiming Tang0Junrong Zhang1Lei Huang2Changbin Yan3Shengming Hu4Mutasim Adam Mohamed Ez Eldin5Department of Engineering Geology and Geotechnical Engineering, Faculty of Engineering, China University of Geosciences, Wuhan, Hubei 430074, ChinaDepartment of Engineering Geology and Geotechnical Engineering, Faculty of Engineering, China University of Geosciences, Wuhan, Hubei 430074, ChinaDepartment of Engineering Geology and Geotechnical Engineering, Faculty of Engineering, China University of Geosciences, Wuhan, Hubei 430074, ChinaSchool of Civil Engineering, Zhengzhou University, Zhengzhou, Henan 450003, ChinaJiangXi Engineering Research Center of Water Engineering Safety and Resources Efficient Utilization, Nanchang Institute of Technology, Nanchang, Jiangxi 330099, ChinaDepartment of Engineering Geology and Geotechnical Engineering, Faculty of Engineering, China University of Geosciences, Wuhan, Hubei 430074, ChinaThe Terzaghi method is widely used to correct the line-sampling bias of rock discontinuity orientations. The method includes four procedures, one of which is meshing the stereographic projection diagram into cells. The method is based on the bias-compensatory factor, 1/sin θ, where θ is the angle between the scanline and the discontinuity defined at each cell center. This paper presents a modified Terzaghi method that eliminates meshing, thereby reducing the method to three steps that (1) count the frequencies, (2) weigh the frequencies by the bias-compensatory factor, and (3) round the weighed frequencies to the nearest integer. Due to the elimination of the mesh, the counting object has changed to the frequency at each pole, and θ in the bias-compensatory factor is redefined as the angle between the scanline and the discontinuity at each pole. The applicability of the redefined bias-compensatory factor is verified through a mathematical logical deduction. The accuracy of the conventional and the modified Terzaghi methods are compared using a case study in Wenchuan, China, revealing improved accuracy for the latter.http://dx.doi.org/10.1155/2018/1629039 |
| spellingShingle | Huiming Tang Junrong Zhang Lei Huang Changbin Yan Shengming Hu Mutasim Adam Mohamed Ez Eldin Correction of Line-Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method Advances in Civil Engineering |
| title | Correction of Line-Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method |
| title_full | Correction of Line-Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method |
| title_fullStr | Correction of Line-Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method |
| title_full_unstemmed | Correction of Line-Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method |
| title_short | Correction of Line-Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method |
| title_sort | correction of line sampling bias of rock discontinuity orientations using a modified terzaghi method |
| url | http://dx.doi.org/10.1155/2018/1629039 |
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