Study of fractal aperture distribution and flow in fractures

S. Kumar; R. W. Zimmerman; G. S. Bodvarsson

Study of fractal aperture distribution and flow in fractures

S. Kumar, R. W. Zimmerman, G. S. Bodvarsson

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This study examines the roughness profiles and aperture distributions of fractures and faults by using concepts from fractal geometry. Simple models of flow of fluid in rough fractures are also discussed. A deterministic fractal representation of the roughness profile is presented which is shown to have many distinct advantages over other numerical methods, such as information compression, uniqueness and repeatability of surface simulation, retention of statistical information, and self-similarity over many scales. Also the fractal representation enables an isotropic surface and an aperture distribution to be simulated by examining a measured profile. Saturated fluid flow in fractures is then computed using a combined Navier-Stokes and Darcy equation.

Original language	English (US)
Title of host publication	Proc 1st Int Top Meet High Level Radioact Waste Manage Part 1
Publisher	Publ by ASCE
Pages	559-564
Number of pages	6
ISBN (Print)	0872627519
State	Published - 1990
Event	Proceedings of the 1st International Topical Meeting on High Level Radioactive Waste Management. Part 1 - Las Vegas, NV, USA Duration: Apr 8 1990 → Apr 12 1990

Publication series

Name	Proc 1st Int Top Meet High Level Radioact Waste Manage Part 1

Other

Other	Proceedings of the 1st International Topical Meeting on High Level Radioactive Waste Management. Part 1
City	Las Vegas, NV, USA
Period	4/8/90 → 4/12/90

ASJC Scopus subject areas

General Engineering

Cite this

Kumar, S, Zimmerman, RW & Bodvarsson, GS 1990, Study of fractal aperture distribution and flow in fractures. in Proc 1st Int Top Meet High Level Radioact Waste Manage Part 1. Proc 1st Int Top Meet High Level Radioact Waste Manage Part 1, Publ by ASCE, pp. 559-564, Proceedings of the 1st International Topical Meeting on High Level Radioactive Waste Management. Part 1, Las Vegas, NV, USA, 4/8/90.

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title = "Study of fractal aperture distribution and flow in fractures",

abstract = "This study examines the roughness profiles and aperture distributions of fractures and faults by using concepts from fractal geometry. Simple models of flow of fluid in rough fractures are also discussed. A deterministic fractal representation of the roughness profile is presented which is shown to have many distinct advantages over other numerical methods, such as information compression, uniqueness and repeatability of surface simulation, retention of statistical information, and self-similarity over many scales. Also the fractal representation enables an isotropic surface and an aperture distribution to be simulated by examining a measured profile. Saturated fluid flow in fractures is then computed using a combined Navier-Stokes and Darcy equation.",

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year = "1990",

language = "English (US)",

isbn = "0872627519",

series = "Proc 1st Int Top Meet High Level Radioact Waste Manage Part 1",

publisher = "Publ by ASCE",

pages = "559--564",

booktitle = "Proc 1st Int Top Meet High Level Radioact Waste Manage Part 1",

note = "Proceedings of the 1st International Topical Meeting on High Level Radioactive Waste Management. Part 1 ; Conference date: 08-04-1990 Through 12-04-1990",

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T1 - Study of fractal aperture distribution and flow in fractures

AU - Kumar, S.

AU - Zimmerman, R. W.

AU - Bodvarsson, G. S.

PY - 1990

Y1 - 1990

N2 - This study examines the roughness profiles and aperture distributions of fractures and faults by using concepts from fractal geometry. Simple models of flow of fluid in rough fractures are also discussed. A deterministic fractal representation of the roughness profile is presented which is shown to have many distinct advantages over other numerical methods, such as information compression, uniqueness and repeatability of surface simulation, retention of statistical information, and self-similarity over many scales. Also the fractal representation enables an isotropic surface and an aperture distribution to be simulated by examining a measured profile. Saturated fluid flow in fractures is then computed using a combined Navier-Stokes and Darcy equation.

AB - This study examines the roughness profiles and aperture distributions of fractures and faults by using concepts from fractal geometry. Simple models of flow of fluid in rough fractures are also discussed. A deterministic fractal representation of the roughness profile is presented which is shown to have many distinct advantages over other numerical methods, such as information compression, uniqueness and repeatability of surface simulation, retention of statistical information, and self-similarity over many scales. Also the fractal representation enables an isotropic surface and an aperture distribution to be simulated by examining a measured profile. Saturated fluid flow in fractures is then computed using a combined Navier-Stokes and Darcy equation.

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M3 - Conference contribution

AN - SCOPUS:0025213638

SN - 0872627519

T3 - Proc 1st Int Top Meet High Level Radioact Waste Manage Part 1

SP - 559

EP - 564

BT - Proc 1st Int Top Meet High Level Radioact Waste Manage Part 1

PB - Publ by ASCE

T2 - Proceedings of the 1st International Topical Meeting on High Level Radioactive Waste Management. Part 1

Y2 - 8 April 1990 through 12 April 1990

ER -

Study of fractal aperture distribution and flow in fractures

Abstract

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