https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Savioli_et_al_1997aSavioli et al 1997a - Revision history2026-04-10T17:34:49ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Savioli_et_al_1997a&diff=57681&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 769816478 to Savioli et al 1997a2017-06-16T09:06:41Z<p>Scipediacontent moved page <a href="/public/Draft_Content_769816478" class="mw-redirect" title="Draft Content 769816478">Draft Content 769816478</a> to <a href="/public/Savioli_et_al_1997a" title="Savioli et al 1997a">Savioli et al 1997a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Savioli_et_al_1997a&diff=57618&oldid=prevScipediacontent: Created page with "== Abstract == The two dimensional flow of oil through an heterogeneous porous media is described using a parabolic partial differential equation, which is an extension of th..."2017-06-16T09:04:31Z<p>Created page with "== Abstract == The two dimensional flow of oil through an heterogeneous porous media is described using a parabolic partial differential equation, which is an extension of th..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
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The two dimensional flow of oil through an heterogeneous porous media is described using a parabolic partial differential equation, which is an extension of the diffusivity equation. This model has practical interest in reservoir engineering: it is used to predict the production of an oil well and also in well test analysis. The numerical solution is obtained by applying a family of finite difference schemes which depend on one parameter. A technique based on Taylor Series of Matrix Functions (TSMF) is used to solve the resulting system of linear equations. The numerical simulator is applied to study the behavior of two-layer reservoirs with vertical permeability less or equal than horizontal permeability. Specifically, the influence of vertical permeability is analyzed for an oil well producing at constant rate. We deduce that vertical permeability affects pressure and flow rate response at low and intermediate times, therefore is has to be considered in the design and interpretation of pressure transient tests.<br />
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== Full document ==<br />
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