Articles | Volume 15, issue 1
Method article
17 Jan 2024
Method article |  | 17 Jan 2024

Modeling liquid transport in the Earth's mantle as two-phase flow: effect of an enforced positive porosity on liquid flow and mass conservation

Changyeol Lee, Nestor G. Cerpa, Dongwoo Han, and Ikuko Wada

Related subject area

Subject area: Core and mantle structure and dynamics | Editorial team: Geodynamics and quantitative modelling | Discipline: Geodynamics
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Cited articles

Arbogast, T., Hesse, M. A., and Taicher, A. L.: Mixed Methods for Two-Phase Darcy–Stokes Mixtures of Partially Melted Materials with Regions of Zero Porosity, SIAM J. Sci. Comput., 39, B375–B402,, 2017. 
Bercovici, D. and Karato, S.-i.: Whole-mantle convection and the transition-zone water filter, Nature, 425, 39–44,, 2003. 
Bie, L., Hicks, S., Rietbrock, A., Goes, S., Collier, J., Rychert, C., Harmon, N., and Maunder, B.: Imaging slab-transported fluids and their deep dehydration from seismic velocity tomography in the Lesser Antilles subduction zone, Earth Planet. Sci. Lett., 586, 117535,, 2022. 
Butler, S. L.: Shear-induced porosity bands in a compacting porous medium with damage rheology, Phys. Earth Planet. In., 264, 7–17,, 2017. 
Cerpa, N. G., Rees Jones, D. W., and Katz, R. F.: Consequences of glacial cycles for magmatism and carbon transport at mid-ocean ridges, Earth Planet. Sci. Lett., 528, 115845,, 2019. 
Short summary
Fluids and melts in the mantle are key to the Earth’s evolution. The main driving force for their transport is the compaction of the porous mantle. Numerically, the compaction equations can yield unphysical negative liquid fractions (porosity), and it is necessary to enforce positive porosity. However, the effect of such a treatment on liquid flow and mass conservation has not been quantified. We found that although mass conservation is affected, the liquid pathways are well resolved.