Staff profile

Summary

Simon teaches hydraulics, hydrology and environmental engineering.

Simon's research focuses on the development of mathematical models to describe the movement of fluids and contaminants in porous media. He works on a range of different applications including groundwater recharge, carbon capture and storage, nutrient transport and rainfall runoff modelling.

www.linkedin.com/in/samathias

Edited book

• Gluyas, J & Mathias, S (2013). Geological storage of carbon dioxide (CO2) - Geoscience, technologies, environmental aspects and legal frameworks. Woodhead Publishing.
• Wheater, HS, Mathias, SA & Li, X (2010). Groundwater Modelling in Arid and Semi-arid Areas. Cambridge University Press.

Journal Article

• Mathias, Simon A., Sander, Graham C., Leung, Jessica & Newall, Samuel R. (2023). Revisiting Salvucci’s Semi-analytical Solution for Bare Soil Evaporation with New Consideration of Vapour Diffusion and Film Flow. Transport in Porous Media 147(2): 463–493.
• Ireson, Andrew M., Spiteri, Raymond J., Clark, Martyn P. & Mathias, Simon A. (2023). A simple, efficient, mass-conservative approach to solving Richards' equation (openRE, v1.0). Geoscientific Model Development 16(2): 659-677.
• Rahayu, Rahmawati, Mathias, Simon A., Reaney, Sim, Vesuviano, Gianni, Suwerman, Rusmawan & Ramdhan, Agus M. (2023). Impact of land cover, rainfall and topography on flood risk in West Java. Natural Hazards 116(2): 1735–1758.
• Chen, Tiantian, Foulger, Gillian R., Tang, Chun’an, Mathias, Simon A. & Gong, Bin (2022). Numerical investigation on origin and evolution of polygonal cracks on rock surfaces. Engineering Geology 311: 106913.
• Zhang, Xiaoyan, Li, Qi, Mathias, Simon, Zheng, Guodong & Tan, Yongsheng (2022). Effect of H2S content on relative permeability and capillary pressure characteristics of acid gas/brine/rock systems: A review. Journal of Rock Mechanics and Geotechnical Engineering 14(6): 2003-2033.
• Xu, Lifeng, Li, Qi, Mathias, Simon A., Tan, Yongsheng, Yang, Duoxing & Fan, Chengkai (2021). Strain characteristics and permeability evolution of faults under stress disturbance monitoring by fibre bragg grating sensing and pressure pulses. Geomechanics and Geophysics for Geo-Energy and Geo-Resources 7(4): 93.
• Amankwah, S. K., Ireson, A. M., Maulé, C., Brannen, R. & Mathias, S. A. (2021). A Model for the Soil Freezing Characteristic Curve That Represents the Dominant Role of Salt Exclusion. Water Resources Research 57(8): e2021WR030070.
• Mathias, Simon A., Reaney, Sim M. & Kenabatho, Piet K. (2021). Transmission loss estimation for ephemeral sand rivers in Southern Africa. Journal of Hydrology 600: 126487.
• Mathias, Simon A. & Sander, Graham C. (2021). Pseudospectral methods provide fast and accurate solutions for the horizontal infiltration equation. Journal of Hydrology 598: 126407.
• Coumans, J.P., Llewellin, E.W., Wadsworth, F.B., Humphreys, M.C.S., Mathias, S.A., Yelverton, B.M. & Gardner, J.E. (2020). An experimentally validated numerical model for bubble growth in magma. Journal of Volcanology and Geothermal Research 402: 107002.
• Coumans, Jason P, Llewellin, Ed W, Humphreys, Madeleine C, Nowak, Marcus, Brooker, Richard A, Mathias, Simon A & McIntosh, Iona M (2020). An experimentally-validated numerical model of diffusion and speciation of water in rhyolitic silicate melt. Geochimica et Cosmochimica Acta 276: 219-238.
• Mathias, Simon, Dentz, Marco & Liu, Qingquan (2020). Gas diffusion in coal powders is a multi-rate process. Transport in Porous Media 131: 1037-1051.
• Mathias, Simon A., Nielsen, Stefan & Ward, Rebecca L. (2019). Storage Coefficients and Permeability Functions for Coal-Bed Methane Production Under Uniaxial Strain Conditions. Transport in Porous Media 130(2): 627-636.
• Jayeoba, Ayodeji, Mathias, Simon A., Nielsen, Stefan, Vilarrasa, Victor & Bjørnarå, Tore I. (2019). Closed-form equation for subsidence due to fluid production from a cylindrical confined aquifer. Journal of Hydrology 573: 964-969.
• Kelly, Helena L. & Mathias, Simon A. (2018). Capillary processes increase salt precipitation during CO2 injection in saline formations. Journal of Fluid Mechanics 852: 398-421.
• Hardwick, J.S. & Mathias, S.A. (2018). Masuda's sandstone core hydrate dissociation experiment revisited. Chemical Engineering Science 175: 98-109.
• Li, Ang, Davies, Richard J., Mathias, Simon, Yang, Jinxiu, Hobbs, Richard & Wilson, Miles (2017). Gas venting that bypasses the feather edge of marine hydrate, offshore Mauritania. Marine and Petroleum Geology 88: 402-409.
• Mathias, S.A., Greenwell, H.C., Withers, C., Erdogan, A., McElwaine, J. & MacMinn, C. (2017). Analytical solution for clay plug swelling experiments. Applied Clay Science 149: 75-78.
• Mathias, Simon A., Sorensen, James P.R. & Butler, Adrian P. (2017). Soil moisture data as a constraint for groundwater recharge estimation. Journal of Hydrology 552: 258-266.
• Li, Ang, Davies, Richard J. & Mathias, Simon (2017). Methane hydrate recycling offshore of Mauritania probably after the last glacial maximum. Marine and Petroleum Geology 84: 323-331.
• Mathias, S.A., McIntyre, N. & Oughton, R.H. (2016). A study of non-linearity in rainfall-runoff response using 120 UK catchments. Journal of Hydrology 540: 423-436.
• Mathias, S.A. & Moutsopoulos, K.N. (2016). Approximate solutions for Forchheimer flow during water injection and water production in an unconfined aquifer. Journal of Hydrology 538: 13-21.
• Goudarzi, S., Mathias, S.A. & Gluyas, J.G. (2016). Simulation of three-component two-phase flow in porous media using method of lines. Transport in Porous Media 112(1): 1-19.
• Oostrom, M., White, M.D., Porse, S.L., Krevor, S.C.M. & Mathias, S.A. (2016). Comparison of relative permeability–saturation–capillary pressure models for simulation of reservoir CO2 injection. International Journal of Greenhouse Gas Control 45: 70-85.
• Mathias, S.A., Gluyas, J.G., Goldthorpe, W.H. & Mackay, E.J. (2015). Impact of maximum allowable cost on CO2 storage capacity in saline formations. Environmental Science and Technology 49(22): 13510-13518.
• Hirst, C.M., Gluyas, J.G. & Mathias, S.A. (2015). The late field life of the East Midlands Petroleum Province; a new geothermal prospect? Quarterly Journal of Engineering Geology and Hydrogeology 48(2): 104-114.
• Mathias, S.A. & Wen, Z. (2015). Numerical simulation of Forchheimer flow to a partially penetrating well with a mixed-type boundary condition. Journal of Hydrology 524: 53-61.
• Davies, R.J., Yang, J., Mathias, S. & Hobbs, R. (2015). An irregular feather-edge and potential outcrop of marine gas hydrate along the Mauritanian margin. Earth and Planetary Science Letters 423: 202-209.
• Mathias, S.A., Skaggs, T.H., Quinn, S.A., Egan, N.C., Finch, L.E. & Oldham, C.D. (2015). A soil moisture accounting-procedure with a Richards' equation-based soil texture-dependent parameterization. Water Resources Research 51(1): 506-523.
• Mathias, S.A., McElwaine, J.N. & Gluyas, J.G. (2014). Heat transport and pressure buildup during carbon dioxide injection into depleted gas reservoirs. Journal of Fluid Mechanics 756: 89-109.
• Watson, F. E., Mathias, S. A., Daniels, S. E., Jones, R. R., Davies, R. J., Hedley, B. J. & van Hunen, J. (2014). Dynamic modelling of a UK North Sea saline formation for CO2 sequestration. Petroleum Geoscience 20(2): 169-185.
• Mijic, A., Mathias, S.A. & LaForce, T.C. (2013). Multiple well systems with non-Darcy flow. Ground Water 51(4): 588-596.
• Mathias, S.A. & Roberts, A.W. (2013). A Lambert W function solution for estimating sustainable injection rates for storage of CO2 in brine aquifers. International Journal of Greenhouse Gas Control 17: 546-548.
• Bjørnarå, T.I. & Mathias, S.A. (2013). A pseudospectral approach to the McWhorter and Sunada equation for two-phase flow in porous media with capillary pressure. Computational Geosciences 17(6): 889-897.
• Mathias, S.A., Gluyas, J.G., González Martínez de Miguel, G.J., Bryant, S.L. & Wilson, D. (2013). On the importance of relative permeability data for estimating CO2 injectivity in brine aquifers. International Journal of Greenhouse Gas Control 12: 200-212.
• Hedley, B.J., Davies, R.J., Mathias, S.A., Hanstock, D. & Gluyas, J.G. (2013). Uncertainty in static CO2 storage capacity estimates: Case study from the North Sea, UK. Greenhouse Gases: Science and Technology 3(3): 212-230.
• Howden, NJK, Burt, TP, Worrall, F, Mathias, SA & Whelan, MJ (2013). Farming for Water Quality: Balancing Food Security and Nitrate Pollution in UK River Basins. Annals of the Association of American Geographers 103: 397-407.
• Mathias, S.A., Gluyas, J.G., Mackay, E.J. & Goldthorpe, W.H. (2013). A statistical analysis of well production rates from UK oil and gas fields – Implications for carbon capture and storage. International Journal of Greenhouse Gas Control 19: 510-518.
• Davies, R.J., Thatcher, K.E., Mathias, S.A. & Yang, J. (2012). Deepwater canyons: An escape route for methane sealed by methane hydrate. Earth and Planetary Science Letters 323-324: 72-78.
• Watson, FE Mathias, SA van Hunen, J, Daniels, SE & Jones, RR (2012). Dissolution of CO2 from leaking fractures in saline formations. Transport in Porous Media 94: 729-745.
• Hosseini, SA, Mathias, SA & Javadpour, F (2012). Analytical Model for CO2 Injection into Brine Aquifers-Containing Residual CH4. Transport in Porous Media 94: 795-815.
• Yang, D, Xue, Z & Mathias, SA (2012). Analysis of momentum transfer in a lid-driven cavity containing a Brinkman–Forchheimer medium. Transport in Porous Media 92: 101-118.
• Davies, RJ, Mathias, SA, Moss, J, Hustoft, S & Newport, L (2012). Hydraulic fractures: How far can they go? Marine and Petroleum Geology 37(1): 1-6.
• Davies, RJ, Mathias, SA, Swarbrick, RE & Tingay, MJ (2011). Probabilistic longevity estimate for the LUSI mud volcano, East Java. Journal of the Geological Society 168: 517-523.
• Mathias SA, Gonzalez GJ, Thatcher KE & Zimmerman RW (2011). Pressure buildup during CO2 injection into a closed brine aquifer. Transport in Porous Media 89(3): 383-397.
• Mathias, SA, Fallah, AS & Louca, LA (2011). An approximate solution for toughness-dominated near-surface hydraulic fractures. International Journal of Fracture 168: 93-100.
• Klammler, H., Hatfield, K., Nemer, B. & Mathias, S.A. (2011). A trigonometric interpolation approach to mixed-type boundary problems associated with permeameter shape factors. Water Resources Research 47(3): W03510.
• Mathias, S.A., Gluyas, J.G., González Martínez de Miguel, G.J. & Hosseini, S.A. (2011). Role of partial miscibility on pressure buildup due to constant rate injection of CO2 into closed and open brine aquifers. Water Resources Research 47(12): W12525.
• Howden, N.J.K., Burt, T.P., Mathias, S.A., Worrall, F. & Whelan, M.J. (2011). Modelling long-term diffuse nitrate pollution at the catchment-scale: Data, parameter and epistemic uncertainty. Journal of Hydrology 403(3-4): 337-351.
• Howden, N.J.K., Burt, T.P., Worrall, F., Mathias, S.A. & Whelan, M.J. (2011). Nitrate pollution in intensively farmed regions: What are the prospects for sustaining high-quality groundwater? Water Resources Research 47(6): W00L02.
• Mathias, SA, Tsang, C & van Reeuwijk, M (2010). Investigation of hydromechanical processes during cyclic extraction recovery testing of a deformable rock fracture. International Journal of Rock Mechanics and Mining Sciences 47(3): 517-522.
• Mathias, SA & Todman, LC (2010). Step-drawdown tests and the Forchheimer equation. Water Resources Research 46: W07514.
• Mathias, S.A., Gluyas, J.G., Oldenburg, C.M. & Tsang, C.-F. (2010). Analytical solution for Joule-Thomson cooling during CO2 geosequestration in depleted oil and gas reservoirs. International Journal of Greenhouse gas Control 4(5): 806-810.
• Mathias, SA (2010). Transient divergent flow and transport in an infinite anisotropic porous formation. Ground Water 48(3): 438-441.
• van Reeuwijk, M, Mathias, SA, Simmons, CT & Ward, JD (2009). Insights from a pseudospectral approach to the Elder problem. Water Resources Research 45: W04416.
• Mathias, SA & van Reeuwijk, M (2009). Hydraulic fracture propagation with 3-D leak-off. Transport in Porous Media 80(3): 1573-1634.
• Mathias, SA, Butler, AP, Atkinson, TC, Kachi, S & Ward, RS (2009). A parameter sensitivity analysis of two Chalk tracer tests. Quarterly Journal of Engineering Geology and Hydrogeology 42: 237-244.
• Mathias, SA, Hardisty, PE, Trudell, MR & Zimmerman, RW (2009). Screening and selection of sites for CO2 sequestration based on pressure buildup. International Journal of Greenhouse Gas Control 3(5): 577-585.
• Mathias, SA, Hardisty, PE, Trudell, MR & Zimmerman, RW (2009). Approximate Solutions for Pressure Buildup During CO2 Injection in Brine Aquifers. Transport in Porous Media 79(2): 265-284.
• Ireson, AM, Mathias, SA, Wheater, HS, Butler, AP & Finch, J (2009). A model for flow in the chalk unsaturated zone incorporating progressive weathering. Journal of Hydrology 365(3-4): 244-260.
• Butler, AP, Mathias, SA, Gallagher, AJ, Peach, DW & Williams, AT (2009). Analysis of flow processes in fractured chalk under pumped and ambient conditions. Hydrogeology Journal 17(8): 1849-1858.
• Mathias, SA, Butler, AP & Wheater, HS (2008). Modelling radioiodine transport across a capillary fringe. Journal of Environmental Radioactivity 99(4): 716-729.
• Mathias, SA, Butler, AP & Zhan, HB (2008). Approximate solutions for Forchheimer flow to a well. Journal of Hydraulic Engineering 134(9): 1318-1325.
• Mathias, SA & Butler, AP (2007). Shape factors for constant-head double-packer permeameters. Water Resources Research 43(6): W06430.
• Mathias, SA, Butler, AP, Peach, DW & Williams, AT (2007). Recovering tracer test input functions from fluid electrical conductivity logging in fractured porous rocks. Water Resources Research 43(7): W07443.
• Mathias, SA, Butler, AP, Ireson, AM, Jackson, BM, McIntyre, N & Wheater, HS (2007). Recent advances in modelling nitrate transport in the Chalk unsaturated zone. Quarterly Journal of Engineering Geology and Hydrogeology 40: 353-359.
• Jackson, BM, Wheater, HS, Wade, AJ, Butterfield, D, Mathias, SA, Ireson, AM, Butler, AP, McIntyre, NR & Whitehead, R (2007). Catchment-scale modelling of flow and nutrient transport in the Chalk unsaturated zone. Ecological Modelling 209(1): 41-52.
• Mathias, SA & Butler, AP (2007). Flow to a finite diameter well in a horizontally anisotropic aquifer with wellbore storage. Water Resources Research 43(7): W07501.
• Gooddy, DC, Mathias, SA, Harrison, I, Lapworth, DJ & Kim, AW (2007). The significance of colloids in the transport of pesticides through Chalk. Science of the Total Environment 385(1-3): 262-271.
• Mathias, SA & Butler, AP (2006). Linearized Richards' equation approach to pumping test analysis in compressible aquifers. Water Resources Research 42(6): 10.
• Mathias, SA, Butler, AP, Jackson, BM & Wheater, HS (2006). Transient simulations of flow and transport in the Chalk unsaturated zone. Journal of Hydrology 330(1-2): 10-28.
• Mathias, SA & Butler, AP (2006). An improvement on Hvorslev's shape factors. Geotechnique 56(10): 705-706.
• Ireson, AM, Wheater, HS, Butler, AP, Mathias, SA, Finch, J & Cooper, JD (2006). Hydrological processes in the Chalk unsaturated zone - Insights from an intensive field monitoring programme. Journal of Hydrology 330(1-2): 29-43.
• Jackson, BM, Wheater, HS, Mathias, SA, McIntyre, N & Butler, AP (2006). A simple model of variable residence time flow and nutrient transport in the chalk. Journal of Hydrology 330(1-2): 221-234.
• Mathias, SA, Butler, AP, McIntyre, N & Wheater, HS (2005). The significance of flow in the matrix of the Chalk unsaturated zone. Journal of Hydrology 310(1-4): 62-77.
• Mathias, S.A. & Zimmerman, R.W. (2003). Laplace transform inversion for late-time behavior of groundwater flow problems. Water Resources Research 39(10): 1283.