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Modelling fracture porosity development using simple growth laws

Modelling fracture porosity development using simple growth laws
Modelling fracture porosity development using simple growth laws
A model of porosity development has been developed to investigate general relationships between simple fracture aperture growth laws and fracture porosity in evolved fracture arrays in aquifers. The growth of fracture apertures in two-dimensional orthogonal arrays with initially spatially uncorrelated lognormal aperture distributions has been studied, where aperture growth rate is proportional to an exponent of the flow rate through each fracture. The evolved arrays show geometrical phase changes as a function of the aperture growth rate exponent, e, and the standard deviation of the initial aperture distribution, ?z. Low values of e and ?z lead to bimodal aperture distributions, where apertures parallel to flow are preferentially enlarged. At moderate values of e and ?z, there is a transition to a regime of more complex geometries consisting of networks of channel-like structures of preferentially enlarged apertures. At larger values of e, array-spanning channel-like paths of preferentially enlarged apertures develop, where the tortuosity of the channel-like paths is a linear function of ?z. Following an initial growth phase, during which dynamically stable aperture configurations develop, arrays undergo simple amplification. The geometry of the evolved aperture fields is diverse and they can be highly complex; consequently, parameterization and prediction of their evolution in terms of the initial aperture distributions and growth rate laws is not trivial.
0017-467X
314-326
Bloomfield, John P.
73517c52-992a-4e93-8c39-34fc68b6a1ae
Barker, John A.
33bf9dec-cc9b-451c-8192-46099e316b6d
Robinson, Nicola
96ec8bbf-fd1e-4ce2-be99-17eb1051fed9
Bloomfield, John P.
73517c52-992a-4e93-8c39-34fc68b6a1ae
Barker, John A.
33bf9dec-cc9b-451c-8192-46099e316b6d
Robinson, Nicola
96ec8bbf-fd1e-4ce2-be99-17eb1051fed9

Bloomfield, John P., Barker, John A. and Robinson, Nicola (2005) Modelling fracture porosity development using simple growth laws. Ground Water, 43 (3), 314-326. (doi:10.1111/j.1745-6584.2005.0039.x).

Record type: Article

Abstract

A model of porosity development has been developed to investigate general relationships between simple fracture aperture growth laws and fracture porosity in evolved fracture arrays in aquifers. The growth of fracture apertures in two-dimensional orthogonal arrays with initially spatially uncorrelated lognormal aperture distributions has been studied, where aperture growth rate is proportional to an exponent of the flow rate through each fracture. The evolved arrays show geometrical phase changes as a function of the aperture growth rate exponent, e, and the standard deviation of the initial aperture distribution, ?z. Low values of e and ?z lead to bimodal aperture distributions, where apertures parallel to flow are preferentially enlarged. At moderate values of e and ?z, there is a transition to a regime of more complex geometries consisting of networks of channel-like structures of preferentially enlarged apertures. At larger values of e, array-spanning channel-like paths of preferentially enlarged apertures develop, where the tortuosity of the channel-like paths is a linear function of ?z. Following an initial growth phase, during which dynamically stable aperture configurations develop, arrays undergo simple amplification. The geometry of the evolved aperture fields is diverse and they can be highly complex; consequently, parameterization and prediction of their evolution in terms of the initial aperture distributions and growth rate laws is not trivial.

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Published date: May 2005

Identifiers

Local EPrints ID: 53134
URI: http://eprints.soton.ac.uk/id/eprint/53134
ISSN: 0017-467X
PURE UUID: 1ac5ce05-b76b-4ac1-9cd3-43aab07ea94e

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Date deposited: 21 Jul 2008
Last modified: 13 Mar 2019 20:41

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Contributors

Author: John P. Bloomfield
Author: John A. Barker
Author: Nicola Robinson

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