# Hyperbolic Theory for Flow in Permeable Media with pH-Dependent Adsorption

@article{Prigiobbe2013HyperbolicTF, title={Hyperbolic Theory for Flow in Permeable Media with pH-Dependent Adsorption}, author={Valentina Prigiobbe and Marc Andre Hesse and Steven L. Bryant}, journal={SIAM J. Appl. Math.}, year={2013}, volume={73}, pages={1941-1957} }

A theory for the solution of the Riemann problem for a one-dimensional, quasi-linear, 2$\times$2 system of conservation laws describing reactive transport in a permeable medium with pH-dependent adsorption is developed. The system is strictly hyperbolic and nongenuinely nonlinear because the adsorption isotherms are not convex functions. The solution comprises nine fundamental structures, which are a concatenation of elementary and composed waves. In the limit of low pH, the isotherms reduce to…

## 5 Citations

### pH-dependent transport of metal cations in porous media.

- PhysicsEnvironmental science & technology
- 2014

The results suggest that the interplay between pH-dependent adsorption and hydrodynamic dispersion can give rise to the rapid migration of metals through reactive porous media with potential effects on, for example, the performance of subsurface engineering infrastructures for pollutant containment, the mobilization of metal contaminants by brine acidified upon contact with CO2 during geologic carbon storage, and the chromatographic separation processes in industrial applications.

### Chromatographic analysis of the acidity-salinity transport system.

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### Enhanced solute transport in porous media due to pH-dependent adsorption and transverse dispersion

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### Challenges in Coupling Acidity and Salinity Transport in Porous Media.

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A suite of column flood experiments through silica sand is conducted, systematically varying salinity and acidity conditions, to highlight the difficulty in applying reactive transport models to realistic media under both basic and acidic conditions with a single set of parameters.

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