How to share underground reservoirs

Verfasser / Beitragende:
[K. Julian Schrenk, Nuno A.M. Araújo, Hans J. Herrmann]
Ort, Verlag, Jahr:
2012
Enthalten in:
Scientific Reports, 2, p. 751
Format:
Artikel (online)
ID: 528785532
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024 7 0 |a 10.3929/ethz-b-000058374  |2 doi 
024 7 0 |a 10.1038/srep00751  |2 doi 
035 |a (ETHRESEARCH)oai:www.research-collecti.ethz.ch:20.500.11850/58374 
100 1 |a Schrenk  |D K. Julian 
245 1 0 |a How to share underground reservoirs  |h [Elektronische Daten]  |c [K. Julian Schrenk, Nuno A.M. Araújo, Hans J. Herrmann] 
246 0 |a Sci Rep 
506 |a Open access  |2 ethresearch 
520 3 |a Many resources, such as oil, gas, or water, are extracted from porous soils and their exploration is often shared among different companies or nations. We show that the effective shares can be obtained by invading the porous medium simultaneously with various fluids. Partitioning a volume in two parts requires one division surface while the simultaneous boundary between three parts consists of lines. We identify and characterize these lines, showing that they form a fractal set consisting of a single thread spanning the medium and a surrounding cloud of loops. While the spanning thread has fractal dimension 1.55 ± 0.03, the set of all lines has dimension 1.69 ± 0.02. The size distribution of the loops follows a power law and the evolution of the set of lines exhibits a tricritical point described by a crossover with a negative dimension at criticality. 
540 |a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported  |u http://creativecommons.org/licenses/by-nc-sa/3.0  |2 ethresearch 
690 7 |a Theoretical physics  |2 ethresearch 
690 7 |a Statistical physics, thermodynamics and nonlinear dynamics  |2 ethresearch 
690 7 |a Scaling laws  |2 ethresearch 
690 7 |a Chemical engineering  |2 ethresearch 
700 1 |a Araújo  |D Nuno A.M.  |e joint author 
700 1 |a Herrmann  |D Hans J.  |e joint author 
773 0 |t Scientific Reports  |d London : Nature Publishing Group  |g 2, p. 751  |x 2045-2322 
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908 |D 1  |a Journal Article  |2 ethresearch 
950 |B ETHRESEARCH  |P 856  |E 40  |u http://hdl.handle.net/20.500.11850/58374  |q text/html  |z WWW-Backlink auf das Repository (Open access) 
950 |B ETHRESEARCH  |P 100  |E 1-  |a Schrenk  |D K. Julian 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Araújo  |D Nuno A.M.  |e joint author 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Herrmann  |D Hans J.  |e joint author 
950 |B ETHRESEARCH  |P 773  |E 0-  |t Scientific Reports  |d London : Nature Publishing Group  |g 2, p. 751  |x 2045-2322 
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