Application of fractal geometry to the study of networks and fractures and their pressure transient

Journal Article · Wed Mar 01 04:00:00 EST 1995 · Water Environment Research

DOI:https://doi.org/10.1029/94WR02260· OSTI ID:81161

Acuna, J A; Yortsos, Y C ^[1]

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1. Univ. of Southern California, Los Angeles (United States)

Typical models for the representation of naturally fractured systems generally rely on the double-porosity Warren-Root model or on random arrays of fractures. However, field observations have demonstrated the existence of multiple length scales in a variety of naturally fractured media. Present models fail to capture this important property of self-similarity. We first use concepts from the theory of fragmentation and from fractal geometry to construct numerically a network of fractures that exhibits self-similar behavior over a range of scales. The method is a combination of fragmentation concepts and the iterated function system approach and allows for great flexibility in the development of patterns. Next, numerical simulation of unsteady single-phase flow in such networks is described. It is found that the pressure transient response of finite fractals behaves according to the analytical predictions of Change and Yortsos (1990) provided that there exists a power law in the mass-radius relationship around the test well location. Finite size effects can become significant and interfere with the identification of the fractal structure. The paper concludes by providing examples from actual well tests in fractured systems which are analyzed using fractal pressure transient theory. 31 refs., 16 figs.

• DOE Contract Number: FG22-90BC14600
• OSTI ID: 81161
• Journal Information: Water Environment Research, Journal Name: Water Environment Research Journal Issue: 3 Vol. 31; ISSN WAERED; ISSN 1061-4303
• Country of Publication: United States
• Language: English

Related Subjects

54 ENVIRONMENTAL SCIENCES
58 GEOSCIENCES
99 GENERAL AND MISCELLANEOUS
FLUID FLOW
FRACTALS
GEOLOGIC FRACTURES
GEOMETRY
MATHEMATICAL MODELS
POROSITY
SIMULATION
STRUCTURAL MODELS