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SUMMARY:Advanced theories of two-phase flow in deformable porous media\, i
 ncluding fluid-fluid interfaces - S. Majid  Hassanizadeh (Universiteit Utr
 echt)
DTSTART:20160216T160000Z
DTEND:20160216T170000Z
UID:TALK64713@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Two-phase flow in porous media is traditionally modeled using 
 a modified form  of Darcy&rsquo\;s law\, two volume balance equations\, an
 d a so-called capillary  pressure-saturation relationship. Darcy&rsquo\;s 
 Law was proposed more than 150 years  ago for the flow of a single fluid i
 n soil. Since then\, this equation\, in almost  original form\, has been a
 ssumed to be applicable to more and more complicated  porous media. But\, 
 there are many shortcomings of the so-called extended Darcy&rsquo\;s  Law.
  The general understanding is that capillary pressure is equal to the  dif
 ference in pressures of two fluids. It is assumed to be an algebraic  empi
 rical function of saturation. This empirical relationship for capillarity 
  has been studied extensively in soil physics\, subsurface hydrology\, and
   petroleum engineering\, because of its central role in multiphase-flow t
 heory.  Yet\, the standard theory of capillarity has a mostly empirical ch
 aracter. The  macroscale capillary pressure-saturation relationsh ip canno
 t be derived from  basic physical principles or using averaging methods. M
 oreover\, it is known to  be hysteretic (i.e.\, it depends on the history 
 of the fluids&rsquo\; distribution) and  rate-dependent (i.e.\, it depends
  on the rate of flow or rate of change of  saturation). We present a new t
 heory of two-phase flow\, which comprises a truly  extended Darcy&rsquo\;s
  law and a new capillarity theory\, which has four main features:  i) pres
 sure gradient is not the only driving force\, ii) capillary pressure is an
   intrinsic property of the porous medium and is not only a function of sa
 turation  but also fluid-fluid specific interfacial areas\, iii) similarly
 \, effective  stress parameter is a function of fluid-fluid specific inter
 facial area as well  as saturation\, and iv) there is a dynamic (or non-eq
 uilibrium) capillarity  effect. We provide experimental evidences for the 
 validity of the new theory.  Also\, pore-scale and continuum-scale simulat
 ions are used to study the possible  significance of the new theory at var
 ious scales. <br><br>Related Links <ul> <li><a target="_blank" rel="nofoll
 ow">https://www.youtube.com/watch?v=kbX203rQSoI</a>  - lecture on two-phas
 e flow  </li><li><a target="_blank" rel="nofollow">http://www.geo.uu.nl/hy
 drogeology/majid/cvmajid.html</a>  - CV of presenter&nbsp\;</li></ul>
LOCATION:Seminar Room 1\, Newton Institute
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