Characterizing Surface Roughness From Pressure-Joint Closure Measurements Using Inversion Procedure
An inversion procedure has been formulated to estimate the surface roughness of a joint (fracture) from the measured pressure-closure data. A gamma distribution for the local minima (or maxima) on a topography profile was used to account for the skewness in the measured distribution of the asperi...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Technical Report |
| Published: |
Massachusetts Institute of Technology. Earth Resources Laboratory
2012
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| Online Access: | http://hdl.handle.net/1721.1/75177 |
| _version_ | 1811078069170995200 |
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| author | Zhao, Xiaomin Toksoz, M. Nafi |
| author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
| author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Zhao, Xiaomin Toksoz, M. Nafi |
| author_sort | Zhao, Xiaomin |
| collection | MIT |
| description | An inversion procedure has been formulated to estimate the surface roughness of a joint
(fracture) from the measured pressure-closure data. A gamma distribution for the local
minima (or maxima) on a topography profile was used to account for the skewness
in the measured distribution of the asperities. By using the distribution, the average
height [bar over z] and the standard deviation a of the profile can also be characterized. An inversion procedure was formulated based on the modification of the theory proposed by Brown and Scholz (1985) and has been successfully tested with synthetic data. The inversion finds average height [bar over z][subscript 1], standard deviation σ, and average aperture. These three parameters characterize the surface roughness and aperture of a fracture and are the topography parameters governing permeability, electric conductivity and other transport properties of the fracture. Pressure-closure data from laboratory measurement of a rough and a smooth joint were also inverted to find the joint properties. The results agree with the profile measurement quite well. The variations of transport properties of a fracture with pressure are also studied. |
| first_indexed | 2024-09-23T10:52:53Z |
| format | Technical Report |
| id | mit-1721.1/75177 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T10:52:53Z |
| publishDate | 2012 |
| publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/751772019-04-12T20:31:12Z Characterizing Surface Roughness From Pressure-Joint Closure Measurements Using Inversion Procedure Zhao, Xiaomin Toksoz, M. Nafi Massachusetts Institute of Technology. Earth Resources Laboratory Zhao, Xiaomin Toksoz, M. Nafi An inversion procedure has been formulated to estimate the surface roughness of a joint (fracture) from the measured pressure-closure data. A gamma distribution for the local minima (or maxima) on a topography profile was used to account for the skewness in the measured distribution of the asperities. By using the distribution, the average height [bar over z] and the standard deviation a of the profile can also be characterized. An inversion procedure was formulated based on the modification of the theory proposed by Brown and Scholz (1985) and has been successfully tested with synthetic data. The inversion finds average height [bar over z][subscript 1], standard deviation σ, and average aperture. These three parameters characterize the surface roughness and aperture of a fracture and are the topography parameters governing permeability, electric conductivity and other transport properties of the fracture. Pressure-closure data from laboratory measurement of a rough and a smooth joint were also inverted to find the joint properties. The results agree with the profile measurement quite well. The variations of transport properties of a fracture with pressure are also studied. Massachusetts Institute of Technology. Full Waveform Acoustic Logging Consortium United States. Dept. of Energy (Grant DE-FG02-86ER13636) 2012-12-03T20:47:53Z 2012-12-03T20:47:53Z 1991 Technical Report http://hdl.handle.net/1721.1/75177 Earth Resources Laboratory Industry Consortia Annual Report;1991-06 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
| spellingShingle | Zhao, Xiaomin Toksoz, M. Nafi Characterizing Surface Roughness From Pressure-Joint Closure Measurements Using Inversion Procedure |
| title | Characterizing Surface Roughness From Pressure-Joint Closure Measurements Using Inversion Procedure |
| title_full | Characterizing Surface Roughness From Pressure-Joint Closure Measurements Using Inversion Procedure |
| title_fullStr | Characterizing Surface Roughness From Pressure-Joint Closure Measurements Using Inversion Procedure |
| title_full_unstemmed | Characterizing Surface Roughness From Pressure-Joint Closure Measurements Using Inversion Procedure |
| title_short | Characterizing Surface Roughness From Pressure-Joint Closure Measurements Using Inversion Procedure |
| title_sort | characterizing surface roughness from pressure joint closure measurements using inversion procedure |
| url | http://hdl.handle.net/1721.1/75177 |
| work_keys_str_mv | AT zhaoxiaomin characterizingsurfaceroughnessfrompressurejointclosuremeasurementsusinginversionprocedure AT toksozmnafi characterizingsurfaceroughnessfrompressurejointclosuremeasurementsusinginversionprocedure |