Not everything that can be counted counts, and not everything that counts can be counted.


Iterative multi-scale method for flow in porous media
Inventors: Hadjibeygi, Bonfigli, Hesse & Jenny
Application number: 20100094605

Submitted for publication:

Yu, Wen, DiCarlo, Hesse (201X) Scaling of solutal convection in porous media, submitted.

Zhang, McNeece, Hesse, Wang (201X) Reactive Transport of Protons in Electro-osmostic Displacements with Concentration Difference in a Microchannel, submitted to Analytical Chemistry

Wen, Akhbari, Zhang, Hesse (201X) Dynamics of convective carbon dioxide dissolution in a closed porous media system, in revision for J. Fluid Mech.

Dygert, Jackson, Hesse, Tremblay, Shuster, Gu (201X)  Plate tectonic cycling modulates Earth’s 3He/22Ne ratio,  submitted to Earth Planet. Sci. Lett.


McCormack, Hesse (2018) Hydrologic Response to Megathrust Earthquake: A look at the 2012 Mw 7.6 Costa Rican Event, in press Adv. Water Resour.

Jordan, Hesse, Rudge (2018) On mass transport in porosity waves,  Earth Planet. Sci. Lett., 485, 65-78, doi:10.1016/j.epsl.2017.12.024  [link]

Ghanbarzadeh, Hesse, Prodanovic (2017)  Percolative Core Formation in Planetesimals Enabled by Hysteresis in Metal Connectivity, Proc. Natl. Acad. Sci., 114(51), 13406-13411, doi: 10.1073/pnas.1707580114 [link]

Shi, Wen, Hesse, Tsotsis, Jessen (2017) Measurement and Modeling of CO2 Mass Transfer in Brine at Reservoir Conditions,  Adv. Water Resour., [link]

McNeece and Hesse (2017) Challenges in coupling acidity and salinity transport, Environ. Sci. Technol., 51 (20), 11799-11808, doi:10.1021/acs.est.7b02318 [link]

Zhang, Hesse, Wang (2017) Transient solute transport with sorption in Poiseuille flow, J. Fluid Mech., 828, 733-752, doi:10.1017/jfm.2017.546 [link]

Smye, Jackson, Konrad-Schmolke, Hesse, Parman, Shuster, Ballentine (2017) Noble gases recycled into the mantle through cooler subduction zones, Earth Planet. Sci. Lett.,471, 65-73,  doi:10.1016/j.epsl.2017.04.046 [link]

Arbogast, Hesse, Taicher (2017)  Mixed methods for two-phase Darcy-Stokes mixtures of partially melted materials with regions of zero porosity, SIAM J. Sci. Comput., 39(2), B375-B402, 1-28, doi:10.1137/16M1091095 [link]

Ahkbari and Hesse (2016) Causes of under-pressure in natural CO2 reservoirs and implications for geological storage, Geology, 45(1), 47-50doi:10.1130/G38362.1 [link]

McNeece and Hesse (2016) Reactive transport of aqueous protons in porous media,  Adv. Water Resour., 97, 314-325, doi:10.1016/j.advwatres.2016.09.013 [link]

Sathaye, Larson, Hesse (2016b) Noble gas fractionation during subsurface gas migration, Earth Planet. Sci. Lett., 450, 1-9, doi:10.1016/j.epsl.2016.05.034 [link]

Sathaye, Smye, Jordan, Hesse (2016a) Noble Gases Preserve History of Retentive Continental Crust in the Bravo Dome Natural CO2 Field,  Earth Planet. Sci. Lett., 443(1), 32-40,  doi:10.1016/j.epsl.2016.03.014 [link]

Martinez, Hesse (2016) Two-Phase Convective CO2 Dissolution in Saline Aquifers, Water Resour. Res., 52(1), 585-599, doi:10.1002/2015WR017085 [link]

Huerta, Hesse, Bryant, Strazisar, Lopano (2016) Reactive transport of CO2-saturated water in a cement fracture: Application to wellbore leakage during geologic CO2 storage, Int. J. Greenh. Gas Con., 44, 276-289, doi:10.1016/j.ijggc.2015.02.006 [link]

Ghanbarzadeh, Hesse, Prodanovic, Gardner (2015) Deformation-Assisted Fluid Percolation in Rock Salt, Science, 350(6264), 1069-1072, doi: 10.1126/science.aac8747 [link]

Jordan, Hesse (2015) Reactive transport in a partially molten system with binary solid solution,  Geochem. Geophys. Geosyst., 16doi: 10.1002/2015GC005956 [link]

Ghanbarzadeh, Hesse, Prodanovic (2015) A level set method for texturally equilibrated pore networks, J. Comp. Phys.297, 480-494, doi:10.1016/ [link]

Woods, Hesse, Berkowitz, Chang (2015) Multiple steady states in exchange flows across faults and the dissolution of CO2 J. Fluid Mech., 769, 229- 241, doi:10.1017/jfm.2015.100 [link]

Sathaye, Hesse, Cassidy, Stockli (2014) Constraints on the magnitude and rate of CO2 dissolution at Bravo Dome natural gas field,  Proc. Natl. Acad. Sci., 111(43), 15332-15337, doi:10.1073/pnas.1406076111 [link]

Ghanbarzadeh, Prodanovic, Hesse (2014) Percolation and grain boundary wetting in anisotropic texturally equilibrated pore networks, Phys. Rev. Lett., 113(4), 048001, doi:10.1103/PhysRevLett.113.048001 [link]

Venkatraman, Hesse, Lake & Johns (2014) Analytical Solutions for Flow in Porous Media with Multicomponent Cation Exchange Reactions, Water Resour. Res., 50, 1-17, doi:10.1002/2013WR015091 [link]

Altmann, … , Hesse, … (2014) Chemical and Hydrodynamic Mechanisms for Long-Term Geological Carbon Storage, J. Phys. Chem. C, 118(28), 15103–15113, doi:10.1021/jp5006764 [link]

Hesse & Stadler (2014) Joint inversion for coupled quasi-static poroelasticity, J. Geophys. Res., 119(2), 1425–1445, doi: 10.1002/2013JB010272 [link]

Szulczewski, Hesse & Juanes (2013) Carbon dioxide dissolution in structural and stratigraphic traps, J. Fluid Mech., 736, 287-315,doi:10.1137/130907185 [link]

Prigiobbe, Hesse & Bryant (2013) Hyperbolic theory for flow in permeable media with pH-dependent adsorption, SIAM J. Appl. Math., 73(5), 1941–1957, doi:10.1137/130907185 [link]

Moore, Carlson & Hesse (2013) Origins Of Yttrium and Rare-Earth-Element Distributions in Metamorphic Garnet,  J. Metamorph. Geol., 31(6), 663-689, doi: 10.1111/jmg.12039 [link]

Chang, Hesse & Nicot (2013) Reduction of lateral pressure propagation due to dissipation into ambient mudrocks during geological carbon dioxide storage, Water Resour. Res., 49(5), 2573–2588, doi: 10.1002/wrcr.20197 [link]

MacMinn, Neufeld, Hesse & Huppert (2012) Spreading and convective dissolution of CO2 in vertically confined, horizontal aquifers, Water Resour. Res., 48(11), doi:10.1029/2012WR012286 [link]

Huerta, Hesse & Bryant (2012) Evidence for self-limiting behavior in experiments coupling flow and reaction of mineral acid injected into a fractured cement core: Implications for time dependent wellbore leakage, Environ. Sci. Technol., 47 (1), 269–275, doi:10.1021/es3013003 [link]

Prigiobbe, Hesse & Bryant (2012) Fast strontium transport induced by hydrodynamic dispersion and pH-dependent sorption, Geophys. Res. Lett. 39, L18401, doi:10.1029/2012GL053146 [link]

Gardner, Befus, Watkins, Hesse & Miller (2012) Compositional gradients surrounding spherulites in obsidian and their relationship to cooling and spherulite growth, B. Volcanol., 74(8), 1865-1879, doi: 10.1007/s00445-012-0642-9 [link]

Hesse (2012) A finite volume method for trace element diffusion and partitioning during crystal growth, Comput. & Geosci., 46, 96–106, doi:10.1016/j.cageo.2012.04.009 [link]

Prigiobbe, Hesse & Bryant (2012) Anomalous reactive transport in the framework of chromatographic theory, Transp. Porous Med., 93(1), 127-145, doi:10.1007/s11242-012-9947-6 [link]

Liang, Schiemenz, Hesse & Parmentier (2011) Waves, channels, and the preservation of chemical heterogeneities during melt migration in the mantle, Geophys. Res. Lett., 38, L20308, doi:10.1029/2011GL049034 [link]

Hesse, Schiemenz, Liang & Parmentier (2011) Compaction-dissolution waves in viscously deforming porous media, Geophys. J. Int., 187(3), 1057–1075, doi: 10.1111/j.1365-246X.2011.05177.x [link]

Golding, Neufeld, Hesse & Huppert (2011) Two-phase gravity currents in porous media, J. Fluid Mech., 678, 248-270,  doi:10.1017/jfm.2011.110 [link]

Schiemenz, Hesse, and Hesthaven (2011) Modelling magma dynamics with a mixed Fourier collocation – discontinuous Galerkin method, Comm. in Comput. Phys.,10(2), 433-452, doi: 10.4208/cicp.030210.240910a [pdf]

Neufeld, Hesse, Riaz, Hallworth, Tchelepi, Huppert (2010) Convective dissolution of carbon dioxide in saline aquifers, Geophys. Res. Lett.37, L22404, doi:10.1029/2010GL044728 [link]

Liang, Schiemenz, Hesse, Parmentier, and Hesthaven (2010) High-porosity channels for melt migration in the mantle: Top is the dunite and bottom is the harzburgite and lherzolite, Geophys. Res. Lett. 37, L15306, doi:10.1029/2010GL044162 [link]

Hesse & Woods (2010) Buoyant dispersal of CO2 during geological storage, Geophys. Res. Lett. 37, L01403,  doi:10.1029/2009GL041128 [link]

Hadjibeygi, Bonfigli, Hesse, Jenny (2008) Iterative multi-scale finite volume method, J. Comput. Phys. 227, 8604-doi: 8621, 10.1016/ [link]

, Mallison, & Tchelepi (2008) Compact Multiscale Finite Volume Method for Heterogeneous Anisotropic Elliptic Equations, Multiscale Model. Simul. 7, 934-962, doi: 10.1137/070705015, doi: 10.1016/ [link]

Hesse, Tchelepi, Orr Jr. (2008) Gravity currents with residual trapping, J. Fluid Mech. 611, 35-60, 10.1017/S002211200800219X [link]

Hesse, Tchelepi, Orr Jr., Cantwell (2007) Gravity currents in horizontal porous layers: transition from early to late self-similarity, J. Fluid Mech. 577, 363-383, doi: 10.1017/S0022112007004685 [link]

Riaz, Hesse, Tchelepi, Orr Jr. (2006) Onset of convection on a gravitationally unstable diffusive boundary layer, J. Fluid Mech. 548, 87-111, doi: 10.1017/S0022112005007494 [link]

Li, Hesse, Ziegler, Woods (2005) An arbitrary Lagrangian-Eulerian method for moving-boundary problems and its applications to jumping over water, J. Comput. Phys. 208, 289-314, 10.1016/ [link]

Hesse & Grove (2003) Absarokites from the western Mexican Volcanic Belt: Constraints on mantle wedge conditions, Contrib. Mineral. Petrol. 146, 10-27, doi: 10.1007/s00410-003-0489-3 [link]