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 <title>iMechanica - Using Fluid Mechanics for Geologic Salt Domes? - Comments</title>
 <link>http://www.imechanica.org/node/3549</link>
 <description>Comments for &quot;Using Fluid Mechanics for Geologic Salt Domes?&quot;</description>
 <language>en</language>
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 <title>Re: Salt domes</title>
 <link>http://www.imechanica.org/node/3549#comment-8373</link>
 <description>&lt;p&gt;
I was hoping for someone else to chime in before I did.&amp;nbsp; But since there seems to be no comers yet let me give it a shot. Caveat: I&amp;#39;ve looked at the deformation of salt pillars when mined but never at the behavior of in-situ salt.&amp;nbsp; &amp;nbsp;
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&lt;p&gt;
Whether you want treat the salt as a non-Newtonian fluid or as a solid depends on the time scale that you&amp;#39;re interested in (see &lt;a href=&quot;http://en.wikipedia.org/wiki/Deborah_number&quot; target=&quot;_blank&quot;&gt;Deborah number&lt;/a&gt;  in Wikipedia and other more reliable sources).&amp;nbsp; Also, it&amp;#39;s hard to determine whether a material will fracture if you treat it as a fluid that can essentially wrap around itself many times without cracking - think lava before it cools enough to crack.&amp;nbsp; The solid-fluid intermediate stage is a fascinating but largely unstudied domain in the mechanics literature.
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&lt;p&gt;
If you&amp;#39;re dealing with small timescales, a viscoelastic-plastic model is probably the better way to go.&amp;nbsp; Salt creeps considerably under pressure but doesn&amp;#39;t flow as readily as lava. &amp;nbsp;
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&lt;p&gt;
The interface between the cap rock and the salt is best modeled as a frictional contact surface (when you&amp;#39;re using solid mechanics) but as a no-slip bc when you&amp;#39;re calling the salt a fluid.&amp;nbsp; Unless there is a thin layer of water at the interface which lubricates the flow, I would expect a significant amount of friction and probably cracking due to that.
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&lt;p&gt;
I&amp;#39;ll try to come up with a better response if I get the time.&amp;nbsp;
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&lt;p&gt;
-- Biswajit
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&lt;br class=&quot;clear&quot; /&gt;</description>
 <pubDate>Thu, 24 Jul 2008 01:54:52 -0400</pubDate>
 <dc:creator>Biswajit Banerjee</dc:creator>
 <guid isPermaLink="false">comment 8373 at http://www.imechanica.org</guid>
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<item>
 <title>Using Fluid Mechanics for Geologic Salt Domes?</title>
 <link>http://www.imechanica.org/node/3549</link>
 <description>&lt;p&gt;
&lt;span&gt;&lt;font face=&quot;verdana,geneva&quot;&gt;&lt;font size=&quot;1&quot;&gt;I was recently presented with a problem concerning the migration of a&amp;nbsp;salt formation&amp;nbsp;in an area of Utah. After spending&amp;nbsp;a little time looking at the given data, I decided it might be a problem that could be approached using fluid mechanics. The idea being that&amp;nbsp;the salt formation, relatively speaking, is highly viscous and is free to&amp;nbsp;respond to acting forces and deform appropriately. Essentially, I was hoping to treat the salt formation almost like&amp;nbsp;the bladder of a water bed reacting to differential loading.&amp;nbsp;&lt;/font&gt;&lt;/font&gt;&lt;/span&gt;
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&lt;p&gt;
&lt;span&gt;&lt;font face=&quot;verdana,geneva&quot;&gt;&lt;font size=&quot;1&quot;&gt;As far as the numbers are concerned, I have data sets that define X and Y coordinates and respective depths for various geological formations. These data points constitute the &amp;quot;tops&amp;quot; of the salt layer as well as layers above and below the salt. Along with these depths I am willing to make very broad and very general assumptions about the salt layer.&lt;/font&gt;&lt;/font&gt;&lt;/span&gt;
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&lt;p&gt;
&lt;font face=&quot;verdana,geneva&quot;&gt;&lt;font size=&quot;1&quot;&gt;&lt;span&gt;&lt;span&gt;&lt;font size=&quot;1&quot;&gt;1.&lt;/font&gt;&lt;span&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;span&gt;&lt;font size=&quot;1&quot;&gt;The&lt;/font&gt; &lt;font size=&quot;1&quot;&gt;salt is incompressible unlike the layers above it, and consequently as the layers above do compress with&amp;nbsp;further deposition,&amp;nbsp;the salt will act as a buoyant body that reacts to differential loading.&lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;
&lt;/p&gt;
&lt;p&gt;
&lt;font face=&quot;verdana,geneva&quot;&gt;&lt;font size=&quot;1&quot;&gt;&lt;span&gt;&lt;span&gt;&lt;font size=&quot;1&quot;&gt;2.&lt;span&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/font&gt;&lt;/span&gt;&lt;/span&gt;&lt;span&gt;&lt;font size=&quot;1&quot;&gt;I would&lt;/font&gt; &lt;font size=&quot;1&quot;&gt;like to consider the salt as frictionless with respect to its upper and lower contacts due to its brittle nature (the salt is lying on what is essentially a sloped plain and so it is free to slide along that slope to achieve equilibrium).&lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;
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&lt;p&gt;
&lt;font face=&quot;verdana,geneva&quot;&gt;&lt;/font&gt;&lt;font face=&quot;verdana,geneva&quot;&gt;&lt;font size=&quot;1&quot;&gt;&lt;span&gt;&lt;span&gt;&lt;font size=&quot;1&quot;&gt;3.&lt;span&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/font&gt;&lt;/span&gt;&lt;/span&gt;&lt;span&gt;&lt;font size=&quot;1&quot;&gt;The&lt;/font&gt; &lt;font size=&quot;1&quot;&gt;salt&amp;#39;s volume is a constant, as there is little evidence of dissolution.&lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;
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&lt;font face=&quot;verdana,geneva&quot;&gt;&lt;/font&gt;&lt;font face=&quot;verdana,geneva&quot;&gt;&lt;font size=&quot;1&quot;&gt;&lt;span&gt;&lt;span&gt;&lt;font size=&quot;1&quot;&gt;4.&lt;span&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp; &lt;/span&gt;&lt;/font&gt;&lt;/span&gt;&lt;/span&gt;&lt;span&gt;&lt;font size=&quot;1&quot;&gt;The&lt;/font&gt; &lt;font size=&quot;1&quot;&gt;underlying foundation of the salt has remained unchanged since initial deposition. &amp;nbsp;&lt;/font&gt;&lt;/span&gt;&lt;/font&gt;&lt;/font&gt;
&lt;/p&gt;
&lt;p&gt;
&lt;font face=&quot;verdana,geneva&quot;&gt;&lt;/font&gt;&lt;span&gt;&lt;font face=&quot;verdana,geneva&quot;&gt;&lt;font size=&quot;1&quot;&gt;Anyway, where this leaves me is I can assume what the salt looked like at deposition and what it looks like now. I can find volumes and&amp;nbsp;weights, and I am willing to apply appropriate generalizations and assumptions. From there I was wondering if it would be appropriate to use fluid mechanics to analyze the various forces acting upon the salt by the upper layers, and vice versa. I don&amp;#39;t expect to get exact numbers, so much as a good idea about the general behavior of the salt with the final result being a good idea of where to look for areas of high stress and dynamic shifting. Ultimately, I hope to use this knowledge to locate probable regions of fracturing which I could then compare to current data of fracture locations and perhaps get correlation and maybe even forecasting.&lt;/font&gt;&lt;/font&gt;&lt;/span&gt;
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&lt;p class=&quot;MsoNormal&quot;&gt;
&lt;span&gt;&lt;font face=&quot;verdana,geneva&quot; size=&quot;1&quot;&gt;I realize this is a mouth full for a forum but I thought it would be worth a try. Anyway, if anyone could give me an idea of the feasibility of perusing this problem and maybe even a few pointers in the right direction it would be greatly appreciated. Thank you for taking an interest and I look forward to your responses.&lt;/font&gt;&lt;/span&gt;
&lt;/p&gt;
&lt;br class=&quot;clear&quot; /&gt;</description>
 <comments>http://www.imechanica.org/node/3549#comments</comments>
 <category domain="http://www.imechanica.org/taxonomy/term/440">Fluid Mechanics Forum</category>
 <category domain="http://www.imechanica.org/taxonomy/term/2657">buoyancy</category>
 <category domain="http://www.imechanica.org/taxonomy/term/2082">Flow</category>
 <category domain="http://www.imechanica.org/taxonomy/term/23">fluid mechanics</category>
 <category domain="http://www.imechanica.org/taxonomy/term/2656">geology</category>
 <category domain="http://www.imechanica.org/taxonomy/term/2654">salt</category>
 <category domain="http://www.imechanica.org/taxonomy/term/2655">salt domes</category>
 <pubDate>Mon, 21 Jul 2008 13:22:27 -0400</pubDate>
 <dc:creator>Charlie Grummon</dc:creator>
 <guid isPermaLink="false">3549 at http://www.imechanica.org</guid>
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