Modeling flow and transport in highly heterogeneous three-dimensional aquifers: Ergodicity, Gaussianity, and anomalous behavior-2. Approximate semianalytical solution

2006 ◽  
Vol 42 (6) ◽  
Author(s):  
A. Fiori ◽  
I. Janković ◽  
G. Dagan
Keyword(s):  
Three Dimensional ◽  
Anomalous Behavior ◽  
Flow And Transport ◽  
Modeling Flow

Verification of a Finite Element Method for Solving One-Dimensional Equations of Blood Flow Incorporating a Viscoelastic Wall Model

2009 ◽  
Author(s):  
Rashmi Raghu ◽  
Charles A. Taylor
Keyword(s):  
Blood Flow ◽  
Surgical Planning ◽  
Computational Cost ◽  
Three Dimensional ◽  
Momentum Equation ◽  
Cross Sectional ◽  
One Dimensional ◽  
The One ◽  
Modeling Flow ◽  
Three Dimensional Simulations

The one-dimensional (1-D) equations of blood flow consist of the conservation of mass equation, balance of momentum equation and a wall constitutive equation with arterial flow rate, cross-sectional area and pressure as the variables. 1-D models of blood flow enable the solution of large networks of blood vessels including wall deformability. Their level of detail is appropriate for applications such as modeling flow and pressure waves in surgical planning and their computational cost is low compared to three-dimensional simulations.

scholarly journals Thermoelectric Relations in the Conformal Limit in Dirac and Weyl Semimetals

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 814
Author(s):  
Vicente Arjona ◽  
Juan Borge ◽  
María A. H. Vozmediano
Keyword(s):  
Chemical Potential ◽  
Transport Coefficients ◽  
Three Dimensional ◽  
Anomalous Behavior ◽  
Conformal Anomaly ◽  
Electronic Systems ◽  
Electric Transport ◽  
Thermo Electric ◽  
Weyl Semimetals ◽  
Band Crossing

Dirac and Weyl semimetals are three-dimensional electronic systems with the Fermi level at or near a band crossing. Their low energy quasi-particles are described by a relativistic Dirac Hamiltonian with zero effective mass, challenging the standard Fermi liquid (FL) description of metals. In FL systems, electrical and thermo–electric transport coefficient are linked by very robust relations. The Mott relation links the thermoelectric and conductivity transport coefficients. In a previous publication, the thermoelectric coefficient was found to have an anomalous behavior originating in the quantum breakdown of the conformal anomaly by electromagnetic interactions. We analyze the fate of the Mott relation in the system. We compute the Hall conductivity of a Dirac metal as a function of the temperature and chemical potential and show that the Mott relation is not fulfilled in the conformal limit.

scholarly journals Multiphase, Multicomponent Simulation for Flow and Transport during Polymer Flood under Various Wettability Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Ji Ho Lee ◽  
Kun Sang Lee
Keyword(s):  
Oil Recovery ◽  
Substantial Reduction ◽  
Three Dimensional ◽  
Water Production ◽  
Flow Process ◽  
Flow And Transport ◽  
Polymer Flood ◽  
Reservoir Simulator ◽  
Reservoir Wettability ◽  
Flow And Mass Transport

Accurate assessment of polymer flood requires the understanding of flow and transport of fluids involved in the process under different wettability of reservoirs. Because variations in relative permeability and capillary pressure induced from different wettability control the distribution and flow of fluids in the reservoirs, the performance of polymer flood depends on reservoir wettability. A multiphase, multicomponent reservoir simulator, which covers three-dimensional fluid flow and mass transport, is used to investigate the effects of wettability on the flow process during polymer flood. Results of polymer flood are compared with those of waterflood to evaluate how much polymer flood improves the oil recovery and water-oil ratio. When polymer flood is applied to water-wet and oil-wet reservoirs, the appearance of influence is delayed for oil-wet reservoirs compared with water-wet reservoirs due to unfavorable mobility ratio. In spite of the delay, significant improvement in oil recovery is obtained for oil-wet reservoirs. With respect to water production, polymer flood leads to substantial reduction for oil-wet reservoirs compared with water-wet reservoirs. Moreover, application of polymer flood for oil-wet reservoirs extends productive period which is longer than water-wet reservoir case.

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