# The effect of rock discontinuity surface roughness on shear strength.

http://hdl.handle.net/10150/185356
Title:
The effect of rock discontinuity surface roughness on shear strength.
Author:
Kliche, Charles Alfred.
Issue Date:
1991
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
In the evaluation of a slope for stability, it is important to determine useable values of various rack properties. One of the most important rock properties which must be determined is the internal angle of friction, Φ. Surface roughness can have a considerable effect upon the friction angle. The norm has been to adjust the friction angle for roughness by the average asperity angle, i, or to compensate by use of a Joint Roughness Coefficient. The objective of this investigation was to develop a method of mathematically quantifying rock discontinuity surface roughness without the need for a subjective determination based upon a visual comparison with some standard. This mathematical relationship then can be used in the evaluation process of the stability of a slope based upon the limit equilibrium concept. This investigation utilized the concept of fractal dimension to quantify the surface roughness along discontinuities in four rock types. It resulted in the development of a relationship between Joint Roughness Coefficient (JRC) and fractal dimension (D) for each of the four rock types of the form:(UNFORMATTED TABLE/EQUATION FOLLOWS): JRC(Pah) = -1002.11 + (1003.83)D, where: D(Pah) averages 1.00837. JRC(Dwd) = -995.58 + (996.92)D, where: D(Dwd) averages 1.00660. JRC(Min) = -925.47 + (927.90)D, where: D(Min) averages 1.00750. JRC(Met) = -1126.41 + (1127.84)D, where: D(Met) averages 1.00336.(TABLE/EQUATION ENDS)These equations for the relationship between JRC and D can be approximated by: JRC = 1000(D - 1). It was possible to substitute this approximate relationship into Barton's equation for shear strength of discontinuities. This resulted in a useable equation for peak joint shear strength which does not require a subjective determination of a "Roughness Coefficient". Instead, the fractal dimension of the discontinuity surface can be precisely mathematically determined. It was next possible to rewrite the equation for the factor of safety for the case of simple plane shear by substituting the equation for T(peak) into the limiting equilibrium equation. This then gave a method for estimating the factor of safety against sliding on a discontinuity given a measurement of the fractal dimension of the discontinuity surface.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic; Surface roughness; Civil engineering.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Mining and Geological Engineering; Graduate College
Degree Grantor:
University of Arizona
Farmer, Ian W.

DC FieldValue Language
dc.language.isoenen_US
dc.titleThe effect of rock discontinuity surface roughness on shear strength.en_US
dc.creatorKliche, Charles Alfred.en_US
dc.contributor.authorKliche, Charles Alfred.en_US
dc.date.issued1991en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractIn the evaluation of a slope for stability, it is important to determine useable values of various rack properties. One of the most important rock properties which must be determined is the internal angle of friction, Φ. Surface roughness can have a considerable effect upon the friction angle. The norm has been to adjust the friction angle for roughness by the average asperity angle, i, or to compensate by use of a Joint Roughness Coefficient. The objective of this investigation was to develop a method of mathematically quantifying rock discontinuity surface roughness without the need for a subjective determination based upon a visual comparison with some standard. This mathematical relationship then can be used in the evaluation process of the stability of a slope based upon the limit equilibrium concept. This investigation utilized the concept of fractal dimension to quantify the surface roughness along discontinuities in four rock types. It resulted in the development of a relationship between Joint Roughness Coefficient (JRC) and fractal dimension (D) for each of the four rock types of the form:(UNFORMATTED TABLE/EQUATION FOLLOWS): JRC(Pah) = -1002.11 + (1003.83)D, where: D(Pah) averages 1.00837. JRC(Dwd) = -995.58 + (996.92)D, where: D(Dwd) averages 1.00660. JRC(Min) = -925.47 + (927.90)D, where: D(Min) averages 1.00750. JRC(Met) = -1126.41 + (1127.84)D, where: D(Met) averages 1.00336.(TABLE/EQUATION ENDS)These equations for the relationship between JRC and D can be approximated by: JRC = 1000(D - 1). It was possible to substitute this approximate relationship into Barton's equation for shear strength of discontinuities. This resulted in a useable equation for peak joint shear strength which does not require a subjective determination of a "Roughness Coefficient". Instead, the fractal dimension of the discontinuity surface can be precisely mathematically determined. It was next possible to rewrite the equation for the factor of safety for the case of simple plane shear by substituting the equation for T(peak) into the limiting equilibrium equation. This then gave a method for estimating the factor of safety against sliding on a discontinuity given a measurement of the fractal dimension of the discontinuity surface.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectSurface roughnessen_US
dc.subjectCivil engineering.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMining and Geological Engineeringen_US
thesis.degree.grantorUniversity of Arizonaen_US