{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1362262944742252544.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.2136/vzj2005.0107"}},{"identifier":{"@type":"URI","@value":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.2136%2Fvzj2005.0107"}},{"identifier":{"@type":"URI","@value":"https://acsess.onlinelibrary.wiley.com/doi/pdf/10.2136/vzj2005.0107"}}],"dc:title":[{"@value":"Dependence of the Electrical Conductivity on Saturation in Real Porous Media"}],"description":[{"type":"abstract","notation":[{"@value":"<jats:p>\n                    Archie's Law for the porosity and saturation dependence of electrical conductivity, σ(θ) =\n                    <jats:italic>a</jats:italic>\n                    σ\n                    <jats:sub>b</jats:sub>\n                    ϕ\n                    <jats:sup>\n                      <jats:italic>m</jats:italic>\n                    </jats:sup>\n                    (θ/ϕ)\n                    <jats:sup>\n                      <jats:italic>n</jats:italic>\n                    </jats:sup>\n                    (where σ is electrical conductivity, the subscript b denotes the brine or bulk solution, ϕ is porosity, θ is volume wetness, and\n                    <jats:italic>a</jats:italic>\n                    ,\n                    <jats:italic>m</jats:italic>\n                    , and\n                    <jats:italic>n</jats:italic>\n                    are fitting parameters) was recently derived by applying continuum percolation theory to fractal porous media. We have recast Archie's Law in terms of saturation alone to obtain σ(θ) = σ\n                    <jats:sub>0</jats:sub>\n                    (θ − θ\n                    <jats:sub>c</jats:sub>\n                    )\n                    <jats:sup>μ</jats:sup>\n                    , where θ\n                    <jats:sub>c</jats:sub>\n                    is the critical volume fraction for percolation, and σ\n                    <jats:sub>0</jats:sub>\n                    =\n                    <jats:italic>a</jats:italic>\n                    σ\n                    <jats:sub>b</jats:sub>\n                    /(1 − θ\n                    <jats:sub>c</jats:sub>\n                    )\n                    <jats:sup>μ</jats:sup>\n                    . The value of the exponent, μ = 2.0 for three‐dimensional systems and 1.28 for two, is consistent with theory and simulations. We examined the universality of the exponent's value, and the range of validity of our expression. Drawing on published data, we compared predicted and measured values of σ(θ) across the full range of saturation, and found that the newly derived expression provides good predictions, is robust with respect to secondary effects such as residual salinity and contact resistance, and yields meaningful physical parameters.\n                  </jats:p>"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1380286990866253574","@type":"Researcher","foaf:name":[{"@value":"R. P. Ewing"}],"jpcoar:affiliationName":[{"@value":"Dep. of Agronomy Iowa State Univ. Ames IA 50011"}]},{"@id":"https://cir.nii.ac.jp/crid/1382262944742252545","@type":"Researcher","foaf:name":[{"@value":"A. G. Hunt"}],"jpcoar:affiliationName":[{"@value":"Dep. of Physics and Dep. of Geology Wright State Univ. Dayton OH 45435"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"15391663"},{"@type":"EISSN","@value":"15391663"}],"prism:publicationName":[{"@value":"Vadose Zone Journal"}],"dc:publisher":[{"@value":"Wiley"}],"prism:publicationDate":"2006-05","prism:volume":"5","prism:number":"2","prism:startingPage":"731","prism:endingPage":"741"},"reviewed":"false","dc:rights":["http://onlinelibrary.wiley.com/termsAndConditions#vor"],"url":[{"@id":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.2136%2Fvzj2005.0107"},{"@id":"https://acsess.onlinelibrary.wiley.com/doi/pdf/10.2136/vzj2005.0107"}],"createdAt":"2006-05-26","modifiedAt":"2025-10-28","relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360004229800450944","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Contrasts in physical properties between the hanging wall and footwall of an exhumed seismogenic megasplay fault in a subduction zone—An example from the Nobeoka Thrust Drilling Project"}]},{"@id":"https://cir.nii.ac.jp/crid/1360004229805541632","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Normal faulting and mass movement during ridge subduction inferred from porosity transition and zeolitization in the <scp>C</scp>osta <scp>R</scp>ica subduction zone"}]},{"@id":"https://cir.nii.ac.jp/crid/1360004235528205312","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Physical property anisotropy of foliated fault rocks: Study from the Nobeoka Thrust, Shimanto Belt, southwest Japan"}]},{"@id":"https://cir.nii.ac.jp/crid/1360286990866253440","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Random network model of electrical conduction in two-phase rock"}]},{"@id":"https://cir.nii.ac.jp/crid/2050025942188138368","@type":"Article","resourceType":"学術雑誌論文(journal article)","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@value":"Multiple damage zone structure of an exhumed seismogenic megasplay fault in a subduction zone : a study from the Nobeoka Thrust Drilling Project"}]}],"dataSourceIdentifier":[{"@type":"CROSSREF","@value":"10.2136/vzj2005.0107"},{"@type":"CROSSREF","@value":"10.1002/2013gc004818_references_DOI_XIRfVAwdlyPsKGpxiea5kcAdkaT"},{"@type":"CROSSREF","@value":"10.1002/2016gc006577_references_DOI_XIRfVAwdlyPsKGpxiea5kcAdkaT"},{"@type":"CROSSREF","@value":"10.1111/iar.12257_references_DOI_XIRfVAwdlyPsKGpxiea5kcAdkaT"},{"@type":"CROSSREF","@value":"10.1007/s00710-018-0585-8_references_DOI_XIRfVAwdlyPsKGpxiea5kcAdkaT"},{"@type":"CROSSREF","@value":"10.1186/s40623-015-0186-2_references_DOI_XIRfVAwdlyPsKGpxiea5kcAdkaT"}]}