 Analytical solutions of the magma equations for molten rocks in a granular matrixAly M. Abourabia, Kawsar M. Hassan and Adel M. Morad Chaos, Solitons & Fractals, 2009, vol. 42, issue 2, 1170-1180 Abstract: In this paper, we present a theoretical study of the two phase system of flow, using a set of partial differential equations in a three-dimensional model in order to focus on the basic physical processes that control magma migration in porous media. It is found that under certain conditions (physically justifiable simplifications) a nonlinear dispersive wave equation which describes the flow of an incompressible fluid through a viscous matrix composed of incompressible solid grains may be derived to give the evolution of the porosity and the analytical solutions of the modeled equation, which exhibit a porosity shock and solitary waves. The types of solutions are defined and discussed over a reasonable range of geophysical parameters stemmed from Galeras volcano data in south-western Colombia. The dispersion properties and the relation between group and phase velocities of the model equation are discussed in the one-dimensional case. The diagrams are drawn to illustrate the physical properties of the solutions. Date: 2009 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:2:p:1170-1180 DOI: 10.1016/j.chaos.2009.03.078 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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