Cerpa, N. G., Wada, I., and Wilson, C. R.: Fluid migration in the mantle wedge: Influence of mineral grain size and mantle compaction, J. Geophys. Res.-Sol. Ea., 122, 6247–6268, https://doi.org/10.1002/2017jb014046, 2017.
Cerpa, N. G., Wada, I., and Wilson, C. R.: Effects of fluid influx, fluid viscosity, and fluid density on fluid migration in the mantle wedge and their implications for hydrous melting, Geosphere, 15, 1–23, https://doi.org/10.1130/ges01660.1, 2018.
Chantel, J., Manthilake, G., Andrault, D., Novella, D., Yu, T., and Wang, Y.: Experimental evidence supports mantle partial melting in the asthenosphere, Sci. Adv., 2, e1600246, https://doi.org/10.1126/sciadv.1600246, 2016.
COMSOL: Commercial finite-element package, COMSOL Multiphysics
® [ver. 5.6],
https://www.COMSOL.com, 2023.
Cordell, D., Unsworth, M. J., Diaz, D., Reyes-Wagner, V., Currie, C. A., and Hicks, S. P.: Fluid and Melt Pathways in the Central Chilean Subduction Zone Near the 2010 Maule Earthquake (35–36
∘ S) as Inferred From Magnetotelluric Data, Geochem. Geophy. Geosy., 20, 1818–1835, https://doi.org/10.1029/2018GC008167, 2019.
Dannberg, J. and Heister, T.: Compressible magma/mantle dynamics: 3-D, adaptive simulations in ASPECT, Geophys. J. Int., 207, 1343–1366, https://doi.org/10.1093/gji/ggw329, 2016.
Dannberg, J., Gassmöller, R., Grove, R., and Heister, T.: A new formulation for coupled magma/mantle dynamics, Geophys. J. Int., 219, 94–107, https://doi.org/10.1093/gji/ggz190, 2019.
Debayle, E., Bodin, T., Durand, S., and Ricard, Y.: Seismic evidence for partial melt below tectonic plates, Nature, 586, 555–559, https://doi.org/10.1038/s41586-020-2809-4, 2020.
Dohmen, J. and Schmeling, H.: Magma ascent mechanisms in the transition regime from solitary porosity waves to diapirism, Solid Earth, 12, 1549–1561, https://doi.org/10.5194/se-12-1549-2021, 2021.
Dymkova, D. and Gerya, T.: Porous fluid flow enables oceanic subduction initiation on Earth, Geophys. Res. Lett., 40, 5671–5676, https://doi.org/10.1002/2013gl057798, 2013.
Fowler, A. C.: A mathematical model of magma transport in the asthenosphere, Geophys. Astro. Fluid, 33, 63–96, https://doi.org/10.1080/03091928508245423, 1985.
Gerya, T. V. and Meilick, F. I.: Geodynamic regimes of subduction under an active margin: effects of rheological weakening by fluids and melts, J. Metamorph. Geol., 29, 7–31, https://doi.org/10.1111/j.1525-1314.2010.00904.x, 2011.
Holtzman, B. K., Groebner, N. J., Zimmerman, M. E., Ginsberg, S. B., and Kohlstedt, D. L.: Stress-driven melt segregation in partially molten rocks, Geochem. Geophy. Geosy., 4, 8607, https://doi.org/10.1029/2001GC000258, 2003.
Jagoutz, O. and Kelemen, P. B.: Role of Arc Processes in the Formation of Continental Crust, Annu. Rev. Earth Pl. Sc., 43, 363–404, https://doi.org/10.1146/annurev-earth-040809-152345, 2015.
Katz, R. F.: Magma Dynamics with the Enthalpy Method: Benchmark Solutions and Magmatic Focusing at Mid-ocean Ridges, J. Petrol., 49, 2099–2121, https://doi.org/10.1093/petrology/egn058, 2008.
Katz, R. F.: The Dynamics of Partially Molten Rock, Princeton University Press, ISBN 9780691176567, 2022.
Katz, R. F., Spiegelman, M., and Holtzman, B.: The dynamics of melt and shear localization in partially molten aggregates, Nature, 442, 676–679, https://doi.org/10.1038/nature05039, 2006.
Katz, R. F., Knepley, M. G., Smith, B., Spiegelman, M., and Coon, E. T.: Numerical simulation of geodynamic processes with the Portable Extensible Toolkit for Scientific Computation, Phys. Earth Planet. In., 163, 52–68, https://doi.org/10.1016/j.pepi.2007.04.016, 2007.
Keller, T. and Katz, R. F.: The Role of Volatiles in Reactive Melt Transport in the Asthenosphere, J. Petrol., 57, 1073–1108, https://doi.org/10.1093/petrology/egw030, 2016.
Keller, T., May, D. A., and Kaus, B. J. P.: Numerical modelling of magma dynamics coupled to tectonic deformation of lithosphere and crust, Geophys. J. Int., 195, 1406–1442, https://doi.org/10.1093/gji/ggt306, 2013.
Lee, C.: A Benchmark for 2-Dimensional Incompressible and Compressible Mantle Convection Using COMSOL Multiphysics
®, Journal of the Geological Society of Korea, 49, 245–265, 2013.
Lee, C. and Kim, Y.: Role of warm subduction in the seismological properties of the forearc mantle: An example from southwest Japan, Sci. Adv., 7, https://doi.org/10.1126/sciadv.abf8934, 2021.
Lee, C., Seoung, D., and Cerpa, N. G.: Effect of water solubilities on dehydration and hydration in subduction zones and water transport to the deep mantle: Implications for natural subduction zones, Gondwana Res., 89, 287–305, https://doi.org/10.1016/j.gr.2020.10.012, 2021.
Lee, C., Cerpa, N. G., Han, D., and Wada, I.: Modeling liquid transport in the Earth's mantle as two-phase flow: Effect of an enforced positive porosity on liquid flow and mass conservation, Zenodo [data set], https://doi.org/10.5281/zenodo.8179527, 2023.
Li, Y., Pusok, A. E., Davis, T., May, D. A., and Katz, R. F.: Continuum approximation of dyking with a theory for poro-viscoelastic–viscoplastic deformation, Geophys. J. Int., 234, 2007–2031, https://doi.org/10.1093/gji/ggad173, 2023.
Lopez, T., Fischer, T. P., Plank, T., Malinverno, A., Rizzo, A. L., Rasmussen, D. J., Cottrell, E., Werner, C., Kern, C., Bergfeld, D., Ilanko, T., Andrys, J. L., and Kelley, K. A.: Tracking carbon from subduction to outgassing along the Aleutian-Alaska Volcanic Arc, Sci Adv, 9, eadf3024, https://doi.org/10.1126/sciadv.adf3024, 2023.
McGary, R. S., Evans, R. L., Wannamaker, P. E., Elsenbeck, J., and Rondenay, S.: Pathway from subducting slab to surface for melt and fluids beneath Mount Rainier, Nature, 511, 338–340, https://doi.org/10.1038/nature13493, 2014.
McKenzie, D.: The Generation and Compaction of Partially Molten Rock, J. Petrol., 25, 713–765, https://doi.org/10.1093/petrology/25.3.713, 1984.
Mei, S., Bai, W., Hiraga, T., and Kohlstedt, D. L.: Influence of melt on the creep behavior of olivine-basalt aggregates under hydrous conditions, Earth Planet. Sci. Lett., 201, 491–507, 2002.
Ogawa, M. and Nakamura, H.: Thermochemical regime of the early mantle inferred from numerical models of the coupled magmatism-mantle convection system with the solid-solid phase transitions at depths around 660 km, J. Geophys. Res.-Sol. Ea., 103, 12161–12180, https://doi.org/10.1029/98JB00611, 1998.
Pusok, A. E., Katz, R. F., May, D. A., and Li, Y.: Chemical heterogeneity, convection and asymmetry beneath mid-ocean ridges, Geophys. J. Int., 231, 2055–2078, https://doi.org/10.1093/gji/ggac309, 2022.
Rees Jones, D. W., Katz, R. F., Tian, M., and Rudge, J. F.: Thermal impact of magmatism in subduction zones, Earth Planet. Sci. Lett., 481, 73–79, https://doi.org/10.1016/j.epsl.2017.10.015, 2018.
Schmeling, H.: Dynamic models of continental rifting with melt generation, Tectonophysics, 480, 33–47, https://doi.org/10.1016/j.tecto.2009.09.005, 2010.
Sim, S. J., Spiegelman, M., Stegman, D. R., and Wilson, C.: The influence of spreading rate and permeability on melt focusing beneath mid-ocean ridges, Phys. Earth Planet. In., 304, 106486, https://doi.org/10.1016/j.pepi.2020.106486, 2020.
Simpson, G. and Spiegelman, M.: Solitary Wave Benchmarks in Magma Dynamics, Journal of Scientific Computing, 49, 268–290, https://doi.org/10.1007/s10915-011-9461-y, 2011.
Spiegelman, M.: Flow in deformable porous media. Part 1 Simple analysis, J. Fluid Mech., 247, 17–38, https://doi.org/10.1017/S0022112093000369, 1993.
Trim, S. J., Butler, S. L., and Spiteri, R. J.: Benchmarking multiphysics software for mantle convection, Comput. Geosci., 154, 104797, https://doi.org/10.1016/j.cageo.2021.104797, 2021.
Wada, I. and Behn, M. D.: Focusing of upward fluid migration beneath volcanic arcs: Effect of mineral grain size variation in the mantle wedge, Geochem. Geophy. Geosy., 16, 3905–3923, https://doi.org/10.1002/2015GC005950, 2015.
Wang, H., Huismans, R. S., and Rondenay, S.: Water Migration in the Subduction Mantle Wedge: A Two-Phas
e Flow Approach, J. Geophys. Res.-Sol. Ea., 124, 9208–9225, https://doi.org/10.1029/2018jb017097, 2019.
Wilson, C. R., Spiegelman, M., and van Keken, P. E.: TerraFERMA: The Transparent Finite Element Rapid Model Assembler for multiphysics problems in Earth sciences, Geochem. Geophy. Geosy., 18, 769–810, https://doi.org/10.1002/2016GC006702, 2017.
Wilson, C. R., Spiegelman, M., van Keken, P. E., and Hacker, B. R.: Fluid flow in subduction zones: The role of solid rheology and compaction pressure, Earth Planet. Sci. Lett., 401, 261–274, https://doi.org/10.1016/j.epsl.2014.05.052, 2014.
Yu, S. and Lee, C.: A benchmark for two-dimensional numerical subduction modeling using COMSOL Multiphysics
®, Journal of the Geological Society of Korea, 54, 683–694, 2018.