Using rodogram function to characterize hurst coefficient in rock profiles
Abstract Roughness is a fundamental feature to define rock deformability and resistance. A detailed characterization of discontinuity surface geometry is essential for understanding some of the rock’s mechanical behaviors. Fractal geometry has been used by several authors to correlate parameters suc...
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| Format: | Article |
| Language: | English |
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Fundação Gorceix
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| Series: | REM: International Engineering Journal |
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| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2448-167X2018000300383&lng=en&tlng=en |
| _version_ | 1819030505912270848 |
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| author | David Alvarenga Drumond Cláudio Lúcio Lopes Pinto |
| author_facet | David Alvarenga Drumond Cláudio Lúcio Lopes Pinto |
| author_sort | David Alvarenga Drumond |
| collection | DOAJ |
| description | Abstract Roughness is a fundamental feature to define rock deformability and resistance. A detailed characterization of discontinuity surface geometry is essential for understanding some of the rock’s mechanical behaviors. Fractal geometry has been used by several authors to correlate parameters such as the Hurst coefficient for JRC (Joint Roughness coefficient) to better describe a surface geometry. Surface profiles might be characterized by a fractal dimension that represents the small scale of the geometric recurrence. In this paper, we propose to modify the methodology used to identify the Hurst coefficient incorporating the rodogram function in the JRC analysis. The proposed function is less influenced by drifting effects, and seems to be more precise than the commonly used variogram function. Robust mathematical models of spatial continuity can be a better alternative to characterize the roughness of rock discontinuities. |
| first_indexed | 2024-12-21T06:31:14Z |
| format | Article |
| id | doaj.art-12179fb9ef834a7797a7e76cd2f029f5 |
| institution | Directory Open Access Journal |
| issn | 2448-167X |
| language | English |
| last_indexed | 2024-12-21T06:31:14Z |
| publisher | Fundação Gorceix |
| record_format | Article |
| series | REM: International Engineering Journal |
| spelling | doaj.art-12179fb9ef834a7797a7e76cd2f029f52022-12-21T19:12:59ZengFundação GorceixREM: International Engineering Journal2448-167X71338338910.1590/0370-44672017710099S2448-167X2018000300383Using rodogram function to characterize hurst coefficient in rock profilesDavid Alvarenga DrumondCláudio Lúcio Lopes PintoAbstract Roughness is a fundamental feature to define rock deformability and resistance. A detailed characterization of discontinuity surface geometry is essential for understanding some of the rock’s mechanical behaviors. Fractal geometry has been used by several authors to correlate parameters such as the Hurst coefficient for JRC (Joint Roughness coefficient) to better describe a surface geometry. Surface profiles might be characterized by a fractal dimension that represents the small scale of the geometric recurrence. In this paper, we propose to modify the methodology used to identify the Hurst coefficient incorporating the rodogram function in the JRC analysis. The proposed function is less influenced by drifting effects, and seems to be more precise than the commonly used variogram function. Robust mathematical models of spatial continuity can be a better alternative to characterize the roughness of rock discontinuities.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2448-167X2018000300383&lng=en&tlng=enrodogramfractal dimensionvariogramjoint roughnessHurst coefficient |
| spellingShingle | David Alvarenga Drumond Cláudio Lúcio Lopes Pinto Using rodogram function to characterize hurst coefficient in rock profiles REM: International Engineering Journal rodogram fractal dimension variogram joint roughness Hurst coefficient |
| title | Using rodogram function to characterize hurst coefficient in rock profiles |
| title_full | Using rodogram function to characterize hurst coefficient in rock profiles |
| title_fullStr | Using rodogram function to characterize hurst coefficient in rock profiles |
| title_full_unstemmed | Using rodogram function to characterize hurst coefficient in rock profiles |
| title_short | Using rodogram function to characterize hurst coefficient in rock profiles |
| title_sort | using rodogram function to characterize hurst coefficient in rock profiles |
| topic | rodogram fractal dimension variogram joint roughness Hurst coefficient |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S2448-167X2018000300383&lng=en&tlng=en |
| work_keys_str_mv | AT davidalvarengadrumond usingrodogramfunctiontocharacterizehurstcoefficientinrockprofiles AT claudioluciolopespinto usingrodogramfunctiontocharacterizehurstcoefficientinrockprofiles |