scholarly journals Description of Free Energy for Immiscible Two‐Fluid Flow in Porous Media by Integral Geometry and Thermodynamics

2018 ◽  
Vol 54 (11) ◽  
pp. 9045-9059 ◽  
Author(s):  
Hamid Hosseinzade Khanamiri ◽  
Carl Fredrik Berg ◽  
Per Arne Slotte ◽  
Steffen Schlüter ◽  
Ole Torsæter
Keyword(s):  
Porous Media ◽  
Free Energy ◽  
Fluid Flow ◽  
Integral Geometry ◽  
Flow In Porous Media ◽  
Two Fluid

scholarly journals Geometric state function for two-fluid flow in porous media

2018 ◽  
Vol 3 (8) ◽  
Author(s):  
James E. McClure ◽  
Ryan T. Armstrong ◽  
Mark A. Berrill ◽  
Steffen Schlüter ◽  
Steffen Berg ◽  
...  
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Flow In Porous Media ◽  
State Function ◽  
Two Fluid

scholarly journals Toward a New Generation of Two-Fluid Flow Models Based on the Thermodynamically-Constrained Averaging Theory

Water ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 2260 ◽  
Author(s):  
Kelsey Bruning ◽  
Cass T. Miller
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Local Equilibrium ◽  
State Equation ◽  
Averaging Theory ◽  
Flow In Porous Media ◽  
Flow Models ◽  
Interfacial Areas ◽  
New Generation ◽  
Two Fluid

Traditional models of two-fluid flow through porous media at the macroscale have existed for nearly a century. These phenomenological models are not firmly connected to the microscale; thermodynamic constraints are not enforced; empirical closure relations are well known to be hysteretic; fluid pressures are typically assumed to be in a local equilibrium state with fluid saturations; and important quantities such as interfacial and curvilinear geometric extents, tensions, and curvatures, known to be important from microscale studies, do not explicitly appear in traditional macroscale models. Despite these shortcomings, the traditional model for two-fluid flow in porous media has been extensively studied to develop efficient numerical approximation methods, experimental and surrogate measure parameterization approaches, and convenient pre- and post-processing environments; and they have been applied in a large number of applications from a variety of fields. The thermodynamically constrained averaging theory (TCAT) was developed to overcome the limitations associated with traditional approaches, and we consider here issues associated with the closure of this new generation of models. It has been shown that a hysteretic-free state equation exists based upon integral geometry that relates changes in volume fractions, capillary pressure, interfacial areas, and the Euler characteristic. We show an analysis of how this state equation can be parameterized with a relatively small amount of data. We also formulate a state equation for resistance coefficients that we show to be hysteretic free, unlike traditional relative permeability models. Lastly, we comment on the open issues remaining for this new generation of models.

SECOND-GRADE MAGNETOHYDRODYNAMIC FLUID FLOW IN POROUS MEDIA

2010 ◽  
Vol 13 (11) ◽  
pp. 1033-1037
Author(s):  
Muhammad R. Mohyuddin ◽  
S. Islam ◽  
A. Hussain ◽  
A. M. Siddiqui
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Flow In Porous Media ◽  
Second Grade ◽  
Magnetohydrodynamic Fluid

scholarly journals Statistical Inference Over Persistent Homology Predicts Fluid Flow in Porous Media

2019 ◽  
Vol 55 (11) ◽  
pp. 9592-9603
Author(s):  
Chul Moon ◽  
Scott A. Mitchell ◽  
Jason E. Heath ◽  
Matthew Andrew
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Statistical Inference ◽  
Persistent Homology ◽  
Flow In Porous Media

Experimental Study of Natural Ions and Rock Interactions for Seawater Breakthrough Percentage Monitoring during Offshore Seawater Flooding

SPE Journal ◽  
2021 ◽  
pp. 1-21
Author(s):  
Yanqing Wang ◽  
Xiang Li ◽  
Jun Lu
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Barium Sulfate ◽  
Large Deviation ◽  
Exchange Process ◽  
Reaction Model ◽  
Sodium Content ◽  
Flow In Porous Media ◽  
Formation Water ◽  
The Impact

Summary Seawater breakthrough percentage monitoring is critical for offshore oil reservoirs because seawater fraction is an important parameter for estimating the severity of many flow assurance issues caused by seawater injection and further developing effective strategies to mitigate the impact of those issues on production. The validation of using natural ions as a tracer to calculate the seawater fraction was investigated systematically by studying the natural chemical composition evolution in porous media using coreflood tests and static bottle tests. The applicable range of ions was discussed based on the interaction between ion and rock. The barium sulfate reactive model was improved by integrating interaction between ions and rock as well as fluid flow effect. The results indicate that chloride and sodium interact with rock, but the influence of the interaction can be minimized to a negligible level because of the high concentrations of chloride and sodium. Thus, chloride and sodium can be used as conservative tracers during the seawater flooding process. However, adsorption/desorption may have a large influence on chloride and sodium concentrations under the scenario that both injection water and formation water have low chloride and sodium content. Bromide shows negligible interaction with rock even at low concentrations and can be regarded as being conservative. The application of a barium and sulfate reaction model in coreflood tests does not work as well as in bottle tests because fluid flow in porous media and ion interaction with rock is not taken into account. Although sulfate and barium adsorption on clay is small, it should not be neglected. The barium sulfate reaction model was improved based on the simulation of ion transport in porous media. Cations (magnesium, calcium, and potassium) are involved in the complicated cation-exchange process, which causes large deviation. Therefore, magnesium, calcium, and potassium are not recommended to calculate seawater fraction. Boron, which exists as anions in formation water and is used as a conservative tracer, has significant interactions with core matrix, and using boron in an ion tracking method directly can significantly underestimate the seawater fraction. The results give guidelines on selecting suitable ions as tracers to determine seawater breakthrough percentages under different production scenarios.

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