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:

Ghanbarzadeh, Hesse, Jordan, Prodanovic (201X) Efficient percolative core formation in planetesimals enabled by hysteresis in melt connectivity, under revision for Nat Geosci

Dygert, Hesse, Jackson (201X) Plate tectonic cycling modulates Earth’s 3He/22Ne ratio, under review by Nature

Chang and Hesse (201X) Solute driven exchange flow encountering geological barriers in a fault, submitted for publication J. Hydrology

Smye, Jackson, Konrad-Schmolke, Hesse, Parman, Shuster, Ballentine: Noble gases recycled into the mantle through cooler subduction zones, submitted to Earth Planet. Sci. Lett.

Li, Hesse, Wang (201X) Transient solute transport with sorption in Poiseuille flow, submitted to J. Fluid Mech.


Arbogast, Hesse, Taicher (2017)  Mixed methods for two-phase Darcy-Stokes mixtures of partially melted materials with regions of zero porosity, in press SIAM J. Sci. Comput.

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, in press, 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]