Universality class for loopless invasion percolation models and a percolation avalanche burst model for hydraulic fracturing.
| Autor: | Ortez R; Department of Physics, University of California, Davis, California 95616, USA., Rundle JB; Department of Physics, University of California, Davis, California 95616, USA.; Department of Earth and Planetary Science, University of California, Davis, California 95616, USA.; Santa Fe Institute, Santa Fe, New Mexico 87501, USA., Turcotte DL; Department of Geology, University of California, Davis, California 95616, USA. |
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| Jazyk: | angličtina |
| Zdroj: | Physical review. E [Phys Rev E] 2021 Jan; Vol. 103 (1-1), pp. 012310. |
| DOI: | 10.1103/PhysRevE.103.012310 |
| Abstrakt: | Invasion percolation is a model that was originally proposed to describe growing networks of fractures. Here 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. |
| Databáze: | MEDLINE |
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