---
title: "Generalized Archie's Law - Application to Petroleum Reservoirs • CBPF Index"
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> Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt)

**Nota de Física****Publicado**

# **Generalized Archie's Law - Application to Petroleum Reservoirs**

**C. Tsallis; E. M. F. Curado; M.S. Souza; V.L. Elias; C. Bettini; M.S. Scuta; R. Beer**

1992

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## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>C. Tsallis; E. M. F. Curado; M.S. Souza; V.L. Elias; C. Bettini; M.S. Scuta; R. Beer</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Estado</dt>
<dd>Publicado</dd>

<dt>Fecha de publicación</dt>
<dd>1992</dd>

<dt>Descripción</dt>
<dd>The experimental formation factor &lt;math&gt;(F)\,\!&lt;/math&gt; vs. porosity &lt;math&gt;(\phi )\,\!&lt;/math&gt; as well as resistivity index &lt;math&gt;(I)\,\!&lt;/math&gt; vs. water saturation &lt;math&gt;(S_{w})\,\!&lt;/math&gt; results typically present, in double-logarithmic representation, bendings which we now interpret as crossovers between different fractal-like regimes. We consistently propose for the ratio (rock resistivity)/(brine resistivity) &lt;math&gt;= R_{t}/R_{w} = F(\phi)I(S_{w})\,\!&lt;/math&gt;, where the functional form of &lt;math&gt;F(\phi)\,\!&lt;/math&gt; and of &lt;math&gt;I(S_{w})\,\!&lt;/math&gt; is a simple one and the same. This proposal yields &lt;math&gt;F \sim \phi^{-m}\,\!&lt;/math&gt; and &lt;math&gt;F \sim B_{F}\phi^{-m'}\,\!&lt;/math&gt; in the &lt;math&gt;\phi \rightarrow 1\,\!&lt;/math&gt; and &lt;math&gt;\phi \rightarrow 0\,\!&lt;/math&gt; limits respectively, as well as &lt;math&gt;I \sim S_{w} ^{-n}\,\!&lt;/math&gt; and &lt;math&gt;I \sim B_{I}S_{w} ^{-n'}\,\!&lt;/math&gt; in the &lt;math&gt;S_w \rightarrow 1\,\!&lt;/math&gt; and &lt;math&gt;S_w \rightarrow 0\,\!&lt;/math&gt; limits respectively &lt;math&gt;(m, m', B_{F}, n, n'\,\!&lt;/math&gt; and &lt;math&gt;B_I\,\!&lt;/math&gt; are rock parameters); hence Archie's law &lt;math&gt;R_{t}/R_{w} \sim \phi ^{-m} S_{w}^{-n}\,\!&lt;/math&gt; is recovered in the &lt;math&gt;(\phi, S_{w}) \rightarrow (1,1) \,\!&lt;/math&gt; limit. The agreement between theory and experiments is quite satisfactory ''for the entire range of'' &lt;math&gt;(\phi, S_{w})\,\!&lt;/math&gt;. The use of the present generalized Archie's law into electrical resistivity logs improves the precision of the evaluation of the hydrocarbon reserves.</dd>

<dt>Año</dt>
<dd>1992</dd>

<dt>Número</dt>
<dd>CBPF-NF-021/92</dd>

<dt>Vínculo con tesis</dt>
<dd>No</dd>

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

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