By Pierre M Adler; Jean-François Thovert; Valeri V Mourzenko
This publication offers a scientific remedy of the geometrical and delivery homes of fractures, fracture networks, and fractured porous media.
It is split into significant components. the 1st half bargains with geometry of person fractures and of fracture networks. using the dimensionless density rationalizes the implications for the percolation threshold of the networks. It provides the the most important benefit of grouping the numerical info for varied fracture shapes.
The moment half bargains normally with permeability below regular stipulations of fractures, fracture networks, and fractured porous media. back the consequences for numerous forms of networks could be rationalized by way of the dimensionless density. A bankruptcy is devoted to 2 section circulation in fractured porous media
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Additional resources for Fractured porous media
One needs another angle, say ω, to specify the polygon orientation within its plane, relative to any arbitrary origin, as illustrated in Fig. 4c; ω is called the in-plane orientation. One can also build a histogram of the trace lengths. Let g(c) be the probability density of these lengths; here, c stands for chords, a word equivalent to traces. Therefore, g(c)dc is the probability of ﬁnding a trace with a length of between c and c + dc. Finally, one may also be interested in the distribution of the fractures in space, irrespective of their orientations.
3. It is also seen that the traces are not perfectly straight, indicating that the corresponding fractures are not plane. 1 Introduction 31 Fig. 1 Fractures viewed at a large scale of the order of their lateral extension 2R. (a) Non-plane fracture. (b) Network of 166 hexagonal fractures. Fig. 2 Traces on plane surfaces. (a) Trace map in one of the sections of the granite block of size (50 cm)3 measured by Led´ esert et al. (1993). (b) The main traces of Fig. 1b are indicated by the thick black lines.
The excluded volume of the two rectangles is tentatively indicated by the broken lines. 4 Statistical geometrical properties of fracture networks 43 objects in space with perimeters PA and PB , Charlaix et al. 1 which is highly recommended to the theoreticians! Its extension to convex polygons was detailed by Adler and Thovert (1999). 5) are based. They are valid for IOUD convex ﬂat objects. 3 as the number of fractures per unit volume. 6) Since any fracture whose center is located in the excluded volume overlaps with the reference fracture, ρ is obviously equal to the average number of intersections per fracture.