Dynamics of multiphase flow in deformable porous media: towards numerical modeling of magma transport in lithospheric rocks
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Magma transport plays a fundamental role in shaping geological and thermal processes, including dyking and volcanism, ore deposit formation, and evolution of geothermal systems. Direct observation of magma migration is inherently limited. Consequently, the development of a numerical framework capable of linking the temporal and spatial scales in which the processes take place is of the essence for simulating magma transport in lithospheric rocks [1,2]. Building upon the theoretical foundations of the mechanics of flow in deformable porous media [3], we present a novel multiphase numerical framework for modeling magma transport in lithospheric rocks. Phase interaction between the solid (rock) and fluid (magma) constituents are incorporated through the phase-averaging method. The rheology of the lithospheric rock is described by a visco-elasto-viscoplastic model that accounts for strain softening and plasticity-induced permeability, enabling a realistic representation of rock evolution. The coupled, highly nonlinear governing equations are discretized using an Eulerian-Lagrangian approach [4]. Several numerical experiments are conducted to show the capability of the proposed framework to capture magma percolation in porous rocks. The results are verified by solving the well-established benchmark tests.
