A method for evaluating the representative elementary volume based on joint survey of rock masses

1988 ◽  
Vol 25 (3) ◽  
pp. 440-447 ◽  
Author(s):  
Masanobu Oda
Keyword(s):  
Computer Simulation ◽  
Rock Mass ◽  
Site Investigation ◽  
Representative Elementary Volume ◽  
Minimum Volume ◽  
Elementary Volume ◽  
Joint Traces ◽  
Typical Length ◽  
General Method

The representative elementary volume of a statistically homogeneous rock mass is defined as the minimum volume beyond which any submass behaves essentially like the whole rock mass. A simple, but still general, method for the determination of the minimum volume is given on the basis of the crack tensor concept; it is concluded that the size must be at least three times larger than a typical length of joint traces. Key words: computer simulation, rock hydraulics, site investigation.

scholarly journals Estimating the Effect of Fractal Dimension on Representative Elementary Volume of Randomly Distributed Rock Fracture Networks

Geofluids ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Jing Zhang ◽  
Liyuan Yu ◽  
Hongwen Jing ◽  
Richeng Liu
Keyword(s):  
Fractal Dimension ◽  
Functional Relationship ◽  
Rock Fracture ◽  
Representative Elementary Volume ◽  
Width Ratio ◽  
Elementary Volume ◽  
Equivalent Permeability ◽  
Length Width ◽  
Rock Fracture Networks

The effect of fractal dimension (Df) on the determination of representative elementary volume (REV) was investigated through numerical experimentations, in which a new method was adopted to extract submodels that have different length-width ratios from original discrete facture networks (DFNs). Fluid flow in 1610 DFNs with different geometric characteristics of fractures and length-width ratios was simulated, and the equivalent permeability was calculated. The results show that the average equivalent permeability (KREV) at the REV size for DFNs increases with the increase in Df. The KREV shows a downward trend with increasing length-width ratio of the submodel. A strong exponent functional relationship is found between the REV size and Df. The REV size decreases with increasing Df. With the increment of the length-width ratio of submodels, the REV size shows a decreasing trend. The effects of length-width ratio and Df on the REV size can be negligible when Df≥1.5, but are significant when Df<1.5.

scholarly journals Determination of representative elementary volume (REV) for jointed rock masses exhibiting scale-dependent behavior: A numerical investigation

2021 ◽  
Author(s):  
Mehmet Sari
Keyword(s):  
Jointed Rock ◽  
Representative Elementary Volume ◽  
Elementary Volume ◽  
Rock Masses ◽  
Continuum Approach ◽  
Joint Spacing ◽  
Jointed Rock Masses ◽  
Equivalent Continuum ◽  
Equivalent Continuum Approach

Abstract Representative elementary volume (REV) is defined as the usual size of a rock mass structure beyond which its mechanical properties are homogenous and isotropic, and its behavior can be modeled using the equivalent continuum approach. Determination of REV is a complex problem in rock engineering due to its definition ambiguity and application area. This study is one of the first attempts to define a REV for jointed rock masses using the equivalent continuum approach. It is aimed to numerically search a ratio between the characteristic size of an engineering structure and pre-existing joint spacing, which are the two most important contributing elements in assessing REV. For this purpose, four hypothetical engineering cases were investigated using the RS2 (Phase2 v. 9.0) finite element (FE) analysis program. An underground circular opening with a constant diameter, an open-pit mine with varying bench heights, a single bench with a constant height, and an underground powerhouse cavern with a known dimension were executed for possible changes in the safety factor and total displacement measurements under several joint spacing values. Different cut-off REVs were calculated for FE models depending on the type of excavation and measurement method. An average REV size of 19.0, ranging between a minimum of 2 for tunnels and a maximum of 48 for slopes, was found in numerical analysis. The calculated sizes of REV were significantly larger than the range of values (5 to 10) commonly reported in the relevant geotechnical literature.

Fractal Description of Rock Mass Structure Representative Elementary Volume

2012 ◽  
Vol 594-597 ◽  
pp. 439-445 ◽  
Author(s):  
Ting Ting Zhang ◽  
E Chuan Yan ◽  
Xian Ming Hu ◽  
Yang Bing Cao
Keyword(s):  
Rock Mass ◽  
Fractal Theory ◽  
Fractal Dimensions ◽  
Representative Elementary Volume ◽  
Mechanical Parameter ◽  
The Novel ◽  
Elementary Volume ◽  
Rock Mass Structure ◽  
Box Counting ◽  
Discontinuity Network

The mechanical parameters of the rock masses are scale dependent because of the existence of the discontinuities. The self-similarity of the discontinuities makes the application of fractal theory in the description of the rock mass structure possible. The novel point in this study is that the structure representative elementary volume (SREV) of rock mass is proposed. Rock mass structures were obtained through the two-dimensional discontinuity network simulation results, from which ten pieces of square rock mass specimens were chosen. The side lengths of the specimens were increased in turn from 1m to 10m. And the fractal dimension of each specimen with different sizes was calculated by the box-counting principal of the fractal geometry. The fractal dimensions of the rack mass structures became larger with their side lengths increasing, and finally stable. And the SREV of the rock mass was determined based on the variation rule of the fractal dimensions. Further, the relation between the structure representative elementary volume (SREV) and mechanical parameter representative elementary volume (REV) was qualitatively analyzed from the strength differences between the discontinuities and intact rock. And the conclusion was inferred that the size of the SREV was the upper limit of mechanical parameter REV. Meanwhile, the conclusion was verified by the results of the finite element method. This study can provided a referring value for the estimation of the mechanical parameter REV in future.

scholarly journals Determination of the Representative Elementary Volume for the study of sandstones and siltstones by X-Ray microtomography

2012 ◽  
Vol 15 (4) ◽  
pp. 662-670 ◽  
Author(s):  
Jaquiel Salvi Fernandes ◽  
Carlos Roberto Appoloni ◽  
Celso Peres Fernandes
Keyword(s):  
Representative Elementary Volume ◽  
Elementary Volume ◽  
X Ray

scholarly journals Determination of representative elementary volume (REV) for jointed rock masses exhibiting scale-dependent behavior: a numerical investigation

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Mehmet Sari
Keyword(s):  
Jointed Rock ◽  
Representative Elementary Volume ◽  
Elementary Volume ◽  
Rock Masses ◽  
Continuum Approach ◽  
Joint Spacing ◽  
Jointed Rock Masses ◽  
Equivalent Continuum ◽  
Equivalent Continuum Approach

AbstractRepresentative elementary volume (REV) is defined as the usual size of a rock mass structure beyond which its mechanical properties are homogenous and isotropic, and its behavior can be modeled using the equivalent continuum approach. Determination of REV is a complex problem in rock engineering due to its definition ambiguity and application area. This study is one of the first attempts to define a REV for jointed rock masses using the equivalent continuum approach. It is aimed to numerically search a ratio between the characteristic size of an engineering structure and pre-existing joint spacing, which are the two most important contributing elements in assessing REV. For this purpose, four hypothetical engineering cases were investigated using the RS2 (Phase2 v. 9.0) finite element (FE) analysis program. An underground circular opening with a constant diameter, an open-pit mine with varying bench heights, a single bench with a constant height, and an underground powerhouse cavern with a known dimension were executed for possible changes in the safety factor and total displacement measurements under several joint spacing values. Different cut-off REVs were calculated for FE models depending on the type of excavation and measurement method. An average REV size of 19.0, ranging between a minimum of 2 for tunnels and a maximum of 48 for slopes, was found in numerical analysis. The calculated sizes of REV were significantly larger than the range of values (5 to 10) commonly reported in the relevant geotechnical literature.

A LOGICAL DESCRIPTION OF THE EVOLUTION OF FEEDBACK LOOP SYSTEMS AND ITS APPLICATION TO RHABDOVIRUS INFECTION

1994 ◽  
Vol 02 (01) ◽  
pp. 55-72 ◽  
Author(s):  
CLAIRE MARTINET-EDELIST
Keyword(s):  
Gene Expression ◽  
Computer Simulation ◽  
Molecular Biology ◽  
Feedback Loop ◽  
Viral Proteins ◽  
Feedback Loops ◽  
Logical Description ◽  
General Method ◽  
Good Agreement

The molecular biology of viruses can be effectively described by kinetic logic, even in its so-called “naïve” version, since feedback loops are implicated in all viral cycles and viral proteins generally display several functions. A general method for the evolution of systems involving feedback loops using this modelling is presented. It can be summarized as follows: (i) description of the system through boolean equations, (ii) identification of the steady states (is there a good agreement between the observations and the logical description?), (iii) experimental determination of several parameters, (iv) computer simulation of viral cycles, (v) predictions and their relation to the biological facts. This survey of oscillation between experimentation and logical description was applied to the study of rhabdovirus cycles and allowed us to describe some aspects of their gene expression.

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