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Fractal and Multifractal Models Applied to Porous Media

2009; Soil Science Society of America; Volume: 8; Issue: 1 Linguagem: Inglês

10.2136/vzj2008.0127

1539-1663

Edmund Perfect, Yakov Pachepsky, Miguel Ángel Martı́n,

Hydrocarbon exploration and reservoir analysis

Vadose Zone JournalVolume 8, Issue 1 p. 174-176 Special Section: Fractal Fractal and Multifractal Models Applied to Porous Media E. Perfect, Corresponding Author E. Perfect [email protected] Dep. of Earth and Planetary Sciences, Univ. of Tennessee, 1412 Circle Dr., Knoxville, TN, 37996Corresponding author ([email protected]).Search for more papers by this authorY. Pachepsky, Y. Pachepsky USDAARS, Environmental Microbial Safety Lab., 173 Powder Mill Rd., BARC-EAST, Beltsville, MD, 20705Search for more papers by this authorM. A. Martín, M. A. Martín Dep. Matemática Aplicada, ETSI Agrónomos, Univ. Politécnica de Madrid, Av. Complutense s/n, 28040 Madrid, SpainSearch for more papers by this author E. Perfect, Corresponding Author E. Perfect [email protected] Dep. of Earth and Planetary Sciences, Univ. of Tennessee, 1412 Circle Dr., Knoxville, TN, 37996Corresponding author ([email protected]).Search for more papers by this authorY. Pachepsky, Y. Pachepsky USDAARS, Environmental Microbial Safety Lab., 173 Powder Mill Rd., BARC-EAST, Beltsville, MD, 20705Search for more papers by this authorM. A. Martín, M. A. Martín Dep. Matemática Aplicada, ETSI Agrónomos, Univ. Politécnica de Madrid, Av. Complutense s/n, 28040 Madrid, SpainSearch for more papers by this author First published: 01 February 2009 https://doi.org/10.2136/vzj2008.0127Citations: 18 All rights reserved. No part of this periodical may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher. 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Phys. 1983 79 3566–3571 https://doi.org/10.1063/1.446211 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=A1983RJ50400050&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.1063/1.446211 CASWeb of Science®Google Scholar Bird, N.R.A., Watts, C.W., Tarquis, A.M., and Whitmore, A.P. Modeling dynamic fragmentation of soil (this issue)–201. Vadose Zone J. 2009 8 197 https://doi.org/10.2136/vzj2008.0046 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100022&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2008.0046 Google Scholar Cello, P.A., Walker, D.D., Valocchi, A.J., and Loftis, B. Flow dimension and anomalous diffusion of aquifer tests in fracture networks (this issue)–268. Vadose Zone J. 2009 8 258 https://doi.org/10.2136/vzj2008.0040 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100030&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2008.0040 Google Scholar Cihan, A., Sukop, M., Tyner, J.S., Perfect, E., and Huang, H. Analytical predictions and lattice Boltzmann simulations of intrinsic permeability for mass fractal porous media (this issue)–196. Vadose Zone J. 2009 8 187 https://doi.org/10.2136/vzj2008.0003 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100021&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2008.0003 Web of Science®Google Scholar Folorunso, O., Puente, C.E., Rolson, D.E., and Pinzon, J.E. Statistical and fractal evaluation of the spatial characteristics of soil surface strength. Soil Sci. Soc. Am. J. 1994 58 284–294 https://doi.org/10.2136/sssaj1994.03615995005800020004x http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=A1994NG62900004&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/sssaj1994.03615995005800020004x Web of Science®Google Scholar ISI Web of Science. Science citation index expanded database. Available at (accessed 29 July 2008). Thomson Reuters, New York. 2008 Google Scholar Kolmogorov, A.N. On the logarithmic normal distribution of particle sizes under grinding. Dokl. Akad. Nauk SSSR 1941 31 99–101 Google Scholar Kravchenko, A.N., Martín, M.A., Smucker, A.J.M., and Rivers, M.L. Limitations in determining multifractal spectra from pore–solid soil aggregate images (this issue)–226. Vadose Zone J. 2009 8 220 https://doi.org/10.2136/vzj2008.0008 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100025&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2008.0008 Web of Science®Google Scholar Luo, L., and Lin, H. Lacunarity and fractal analyses of soil macropores and preferential transport using micro-X-ray computed tomography (this issue)–241. Vadose Zone J. 2009 8 233 https://doi.org/10.2136/vzj2008.0010 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100027&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2008.0010 Web of Science®Google Scholar Mandelbrot, B.B. The fractal geometry of nature. W.H. Freeman, New York. 1982 Web of Science®Google Scholar Martín, M.A., Pachepsky, Y., and Perfect, E. Editorial: Scaling, fractals, and diversity in soils and ecohydrology. Ecol. Model. 2005 182 217–220 https://doi.org/10.1016/j.ecolmodel.2004.04.001 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000227429600001&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.1016/j.ecolmodel.2004.04.001 Web of Science®Google Scholar Martín, M.A., García-Gutiérrez, C., and Reyes, M. Modeling multifractal features of soil particle size distributions with Kolmogorov fragmentation algorithms (this issue)–208. Vadose Zone J. 2009 8 202 https://doi.org/10.2136/vzj2008.0038 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100023&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2008.0038 Google Scholar Ozdemirtas, M., Babadagli, T., and Kuru, E. Effects of fractal fracture surface roughness on borehole ballooning (this issue)–257. Vadose Zone J. 2009 8 250 https://doi.org/10.2136/vzj2007.0174 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100029&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2007.0174 Google Scholar Pachepsky, Y, Perfect, E., and Martín, M.A. Fractal geometry applied to soil and related hierarchical systems. Geoderma 2006 134 237–239 https://doi.org/10.1016/j.geoderma.2006.03.002 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000239851000001&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.1016/j.geoderma.2006.03.002 Web of Science®Google Scholar Papadopoulos, A., Whitmore, A.P., White, R.P., Mooney, S.J., and Bird, N.R.A. Combining spatial resolutions in the multiscale analysis of soil pore size distributions (this issue)–232. Vadose Zone J. 2009 8 227 https://doi.org/10.2136/vzj2008.0042 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100026&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2008.0042 Google Scholar Paz Ferreiro, J., Wilson, M., and Vidal Vázquez, E. Multifractal description of nitrogen adsorption isotherms (this issue)–219. Vadose Zone J. 2009 8 209 https://doi.org/10.2136/vzj2008.0007 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100024&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2008.0007 Web of Science®Google Scholar Perfect, E., and Kay, B.D. Applications of fractals in soil and tillage research: A review. Soil Tillage Res. 1995 36 1–20 https://doi.org/10.1016/0167-1987(96)81397-3 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=A1995TM39400001&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.1016/0167-1987(96)81397-3 Web of Science®Google Scholar Pfeifer, P., and Avnir, D. Chemistry in noninteger dimensions between two and three: I. Fractal theory of heterogeneous surfaces. [erratum 80:4573].:–3565 J. Chem. Phys. 1983 79 3558 https://doi.org/10.1063/1.446210 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=A1983RJ50400049&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.1063/1.446210 CASWeb of Science®Google Scholar Pfeifer, P., Avnir, D., and Farin, D. Ideally irregular surfaces of dimension greater than two in theory and practice. Surf. Sci. 1983 126 569–572 https://doi.org/10.1016/0039-6028(83)90759-8 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=A1983QN29900072&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.1016/0039-6028(83)90759-8 CASWeb of Science®Google Scholar San José Martínez, F., Pachepsky, Y.A., and Rawls, W.J. Advective–dispersive equation with spatial fractional derivatives evaluated with tracer transport data (this issue)–249. Vadose Zone J. 2009 8 242 https://doi.org/10.2136/vzj2008.0037 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100028&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2008.0037 CASWeb of Science®Google Scholar Turcotte, D.L. Fractals and fragmentation. J. Geophys. Res. 1986 91 1921–1926 https://doi.org/10.1029/JB091iB02p01921 10.1029/JB091iB02p01921 Web of Science®Google Scholar Yu, B., Cai, J., and Zou, M. On the physical properties of apparent two-phase fractal porous media (this issue)–186. Vadose Zone J. 2009 8 177 https://doi.org/10.2136/vzj2008.0015 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=agrocropsoil&KeyUT=000263915100020&DestLinkType=FullRecord&DestApp=WOS_CPL&UsrCustomerID=523bbf5d2a868de7bbaeea0bc70ec0e4 10.2136/vzj2008.0015 Web of Science®Google Scholar Citing Literature Volume8, Issue1February 2009Pages 174-176 ReferencesRelatedInformation