Universality class for loopless invasion percolation models and a percolation avalanche burst model for hydraulic fracturing

Ortez, Ronaldo; Rundle, John B.; Turcotte, Donald L.

doi:10.1103/physreve.103.012310

Universality class for loopless invasion percolation models and a percolation avalanche burst model for hydraulic fracturing

Journal Article · Fri Jan 22 00:00:00 EST 2021 · Physical Review. E

DOI:https://doi.org/10.1103/physreve.103.012310· OSTI ID:1852368

Ortez, Ronaldo ^[1]; Rundle, John B. ^[2]; Turcotte, Donald L. ^[3]

Univ. of California, Davis, CA (United States); OSTI
Univ. of California, Davis, CA (United States); Sante Fe Institute, NM (United States)
Univ. of California, Davis, CA (United States)

Invasion percolation is a model that was originally proposed to describe growing networks of fractures. In this work, we describe a loopless algorithm on random lattices, coupled with an avalanche-based model for bursts. The model reproduces the characteristic b-value seismicity and spatial distribution of bursts consistent with earthquakes resulting from hydraulic fracturing (“fracking”). We test models for both site invasion percolation and bond invasion percolation. These have differences on the scale of site and bond lengths l. But since the networks are characterized by their large-scale behavior, l << L, we find small differences between scaling exponents. Though data may not differentiate between models, our results suggest that both models belong to different universality classes.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0017324

OSTI ID:: 1852368

Journal Information:: Physical Review. E, Journal Name: Physical Review. E Journal Issue: 1 Vol. 103; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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