Thermodynamic Model for Mineral Solubility in Aqueous Fluids: Theory, Calibration and Application to Model Fluid-Flow Systems

2011 ◽  
pp. 20-40 ◽  
Author(s):  
D. Dolejš ◽  
C. E. Manning
2016 ◽  
Author(s):  
David Brink-Roby ◽  
◽  
Mark A. Evans ◽  
Gautam Mitra ◽  
Adolph Yonkee
Keyword(s):  

Author(s):  
Michel Molina Del Sol ◽  
Eduardo Arbieto Alarcon ◽  
Rafael José Iorio

In this study, we continue our study of the Cauchy problem associated with the Brinkman equations [see (1.1) and (1.2) below] which model fluid flow in certain types of porous media. Here, we will consider the flow in the upper half-space \[ \mathbb{R}_{+}^{3}=\left\{\left(x,y,z\right) \in\mathbb{R}^{3}\left\vert z\geqslant 0\right.\right\}, \] under the assumption that the plane $z=0$ is impenetrable to the fluid. This means that we will have to introduce boundary conditions that must be attached to the Brinkman equations. We study local and global well-posedness in appropriate Sobolev spaces introduced below, using Kato's theory for quasilinear equations, parabolic regularization and a comparison principle for the solutions of the problem.


1991 ◽  
Vol 40 (2) ◽  
pp. 511-520
Author(s):  
D.F. Lozupone ◽  
F. Piccolo
Keyword(s):  

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