Scale Dependence of Waviness and Unevenness of Natural Rock Joints through Fractal Analysis
The scale dependence of surface roughness is critical in characterising the hydromechanical properties of field-scale rock joints but is still not well understood, particularly when different orders of roughness are considered. We experimentally reveal the scale dependence of two-order roughness, i....
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2020/8818815 |
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| author | Yingchun Li Shengyue Sun Hongwei Yang |
| author_facet | Yingchun Li Shengyue Sun Hongwei Yang |
| author_sort | Yingchun Li |
| collection | DOAJ |
| description | The scale dependence of surface roughness is critical in characterising the hydromechanical properties of field-scale rock joints but is still not well understood, particularly when different orders of roughness are considered. We experimentally reveal the scale dependence of two-order roughness, i.e., waviness and unevenness through fractal parameters using the triangular prism surface area method (TPM). The surfaces of three natural joints of granite with the same dimension of 1000 mm×1000 mm are digitised using a 3D laser scanner at three different measurement resolutions. Waviness and unevenness are quantitatively separated by considering the area variation of joint surface as grid size changes. The corresponding fractal dimensions of waviness and unevenness in sampling window sizes ranging from 100 mm×100 mm to 1000 mm×1000 mm at an interval of 100 mm×100 mm are determined. We find that both the fractal dimensions of waviness and unevenness vary as the window size increases. No obvious stationarity threshold has been found for the three rock joint samples, indicating the surface roughness of natural rock joints should be quantified at the scale of the rock mass in the field. |
| format | Article |
| id | doaj-art-ce4318e9326942f2a3323dc005dc9a86 |
| institution | Kabale University |
| issn | 1468-8115 1468-8123 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-ce4318e9326942f2a3323dc005dc9a862025-02-03T06:46:18ZengWileyGeofluids1468-81151468-81232020-01-01202010.1155/2020/88188158818815Scale Dependence of Waviness and Unevenness of Natural Rock Joints through Fractal AnalysisYingchun Li0Shengyue Sun1Hongwei Yang2State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116024, ChinaState Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116024, ChinaInstitute for Geology, Mineralogy and Geophysics, Ruhr University Bochum, Bochum, D-44780, GermanyThe scale dependence of surface roughness is critical in characterising the hydromechanical properties of field-scale rock joints but is still not well understood, particularly when different orders of roughness are considered. We experimentally reveal the scale dependence of two-order roughness, i.e., waviness and unevenness through fractal parameters using the triangular prism surface area method (TPM). The surfaces of three natural joints of granite with the same dimension of 1000 mm×1000 mm are digitised using a 3D laser scanner at three different measurement resolutions. Waviness and unevenness are quantitatively separated by considering the area variation of joint surface as grid size changes. The corresponding fractal dimensions of waviness and unevenness in sampling window sizes ranging from 100 mm×100 mm to 1000 mm×1000 mm at an interval of 100 mm×100 mm are determined. We find that both the fractal dimensions of waviness and unevenness vary as the window size increases. No obvious stationarity threshold has been found for the three rock joint samples, indicating the surface roughness of natural rock joints should be quantified at the scale of the rock mass in the field.http://dx.doi.org/10.1155/2020/8818815 |
| spellingShingle | Yingchun Li Shengyue Sun Hongwei Yang Scale Dependence of Waviness and Unevenness of Natural Rock Joints through Fractal Analysis Geofluids |
| title | Scale Dependence of Waviness and Unevenness of Natural Rock Joints through Fractal Analysis |
| title_full | Scale Dependence of Waviness and Unevenness of Natural Rock Joints through Fractal Analysis |
| title_fullStr | Scale Dependence of Waviness and Unevenness of Natural Rock Joints through Fractal Analysis |
| title_full_unstemmed | Scale Dependence of Waviness and Unevenness of Natural Rock Joints through Fractal Analysis |
| title_short | Scale Dependence of Waviness and Unevenness of Natural Rock Joints through Fractal Analysis |
| title_sort | scale dependence of waviness and unevenness of natural rock joints through fractal analysis |
| url | http://dx.doi.org/10.1155/2020/8818815 |
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