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1. Topographic stress and rock fracture: a two-dimensional numerical model for arbitrary topography and preliminary comparison with borehole observations: TOPOGRAPHIC STRESS AND ROCK FRACTURE

   https://doi.org/10.1002/esp.3646  

   Slim, Mirna ; Perron, J. Taylor ; Martel, Stephen J. ; Singha, Kamini ( March 2015 , Earth Surface Processes and Landforms)
2. The potential for aqueous fluid-rock and silicate melt-rock interactions to re-equilibrate hydrogen in peridotite nominally anhydrous minerals

   https://doi.org/10.2138/am-2020-7435  

   Lynn, Kendra J ; Warren, Jessica M ( January 2021 , The American mineralogist)

   Hydrogen is a rapidly diffusing monovalent cation in nominally anhydrous minerals (NAMs, such as olivine, orthopyroxene, and clinopyroxene), which is potentially re-equilibrated during silicate melt-rock and aqueous fluid-rock interactions in massif and abyssal peridotites. We apply a 3D numerical diffusion modeling technique to provide first-order timescales of complete hydrogen re-equilibration in olivine, clinopyroxene, and orthopyroxene over the temperature range 600-1200°C. Model crystals are 1-3 mm along the c-axis and utilize H+ diffusion coefficients appropriate for Fe-bearing systems. Two sets of models were run with different boundary compositions: 1) “low-H models” are constrained by mineral-melt equilibrium partitioning with a basaltic melt that has 0.75 wt% H2O and 2) “high-H models,” which utilize the upper end of the estimated range of mantle water solubility for each phase. Both sets of models yield re-equilibration timescales that are identical and are fast for all phases at a given temperature. These timescales have strong log-linear trends as a function of temperature (R2 from 0.97 to 0.99) that can be used to calculate expected re-equilibration time at a given temperature and grain size. At the high end of the model temperatures (1000-1200°C), H+ completely re-equilibrates in olivine, orthopyroxene, and clinopyroxene within minutes to hours, consistent withmore »previous studies. These short timescales indicate that xenolith NAM mantle water contents are likely to be overprinted prior to eruption. The models also resolve the decoupled water-trace element relationship in Southwest Indian Ridge peridotites, in which peridotite REE abundances are reproduced by partial melting models whereas the relatively high NAM H2O contents require later re-equilibration with melt. At temperatures of 600-800°C, which correspond to conditions of hydrothermal alteration of pyroxene to amphibole and talc, H+ re-equilibration typically occurs over a range of timescales spanning days to years. These durations are well within existing estimates for the duration of fluid flow in oceanic hydrothermal systems, suggesting that peridotite NAM water contents are susceptible to diffusive overprinting during higher temperature hydrothermal alteration. Thus, diffusion during aqueous fluid-rock interactions may also explain NAM H2O contents that are too high to reflect residues of melting. These relatively short timescales at low temperatures suggest that the origin of water contents measured in peridotite NAMs requires additional constraints on sample petrogenesis, including petrographic and trace element analyses. Our 3D model results also hint that H+ may diffuse appreciably during peridotite serpentinization, but diffusion coefficients at low temperature are unconstrained and additional experimental investigations are needed.« less
3. Release of radiogenic noble gases as a new signal of rock deformation: MECHANICAL GAS RELEASE

   https://doi.org/10.1002/2016GL070876  

   Bauer, Stephen J. ; Gardner, W. Payton ; Lee, Hyunwoo ( October 2016 , Geophysical Research Letters)
4. Real-case benchmark for flow and tracer transport in the fractured rock

   https://doi.org/10.1007/s12665-016-6061-z  

   Hokr, M. ; Shao, H. ; Gardner, W. P. ; Balvín, A. ; Kunz, H. ; Wang, Y. ; Vencl, M. ( September 2016 , Environmental Earth Sciences)
5. Whole rock basalt alteration from CO 2 -rich brine during flow-through experiments at 150 °C and 150 bar

   https://doi.org/10.1016/j.chemgeo.2017.02.002  

   Luhmann, Andrew J. ; Tutolo, Benjamin M. ; Tan, Chunyang ; Moskowitz, Bruce M. ; Saar, Martin O. ; Seyfried, William E. ( March 2017 , Chemical Geology)