Mathematical Geoscience Members
Permanent Faculty
Emeritus
Research Fellows
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Research Interests:
Flow through porous media, grid generation, numerical simulation of elliptic pde with tensor coefficients, inverse problems from a Bayesian viewpoint (particularly the connections between Tikhonov regularisation and Gaussian random fields), data assimilation and particle filters, construction of spatial priors using various types of spde, decision and control problems in the presence of uncertainty, optimisation of expensive functions. Prizes, Awards and Scholarships:
Royal Society Industry Fellow 2002-2006. Major/Recent Publications:
Potsepaev, R. V. and Farmer, C. L. (2010), “Application of Stochastic Partial Differential Equations to Reservoir Property Modelling”, Paper B003, in the Proceedings of the 12th European Conference on the Mathematics of Oil Recovery, Oxford, organised by the European Association of Geoscientsts and Engineers. Farmer, C.L., Fowkes, J.M. and Gould, N.I.M. (2010), "Optimal Well Placement", Paper B033, in the Proceedings of the 12th European Conference on the Mathematics of Oil Recovery, Oxford, organised by the European Association of Geoscientsts and Engineers. Busby, D, Farmer C.L. and Iske, A. Hierarchical nonlinear approximation for experimental design and statistical data fitting. SIAM Journal on Scientific Computing. 29 (1), January 2007, pp 49-69. Farmer, C.L. Bayesian Field Theory Applied to Scattered Data Interpolation and Inverse Problems. Algorithms for Approximation. Ed. A. Iske and J. Levesley, Springer-Verlag, Heidelberg, 2007, pp. 147-166. Busby, D, Farmer C.L. and Iske, A (2006). Uncertainty Evaluation in Reservoir Forecasting by Bayes Linear Methodology. Algorithms for Approximation. Ed. A. Iske and J. Levesley, Springer-Verlag, Heidelberg, 2007, pp. 187-196. Farmer, C.L. and Howison, S.D. (2005). The motion of a viscous filament in a porous medium or Hele-Shaw cell: a physical realisation of the Cauchy-Riemann Equations. Applied Mathematics Letters, 19 (4), April 2006, 356-361. Geological modelling and reservoir simulation. Article in 'Mathematical Methods and Modeling in Hydrocarbon Exploration and Production', Editors: Armin Iske and Trygve Randen, Springer-Verlag, Heidelberg. ISBN: 3-540-22536-6, 2005, pp 119-212. Upscaling: A Review. Numerical Methods in Fluids, 40(1-2), 63-78, September 2002. Farmer C.L. , A.J. Fitzpatrick and R. Potsepaev. Multipoint Flux Approximation via Upscaling. Paper A19 in the Proceedings of the 11th European Conference on the Mathematics of Oil Recovery, Bergen, September 2008. Local Geostatistics. Paper A005 in the Proceedings of the 9th European Conference on the Mathematics of Oil Recovery, Cannes, September 2004. Teaching:
MSc course on 'Mathematics for Simulation', Trinity Term. |
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Research Interests:
Nonequilibrium thermodynamics, colloid physics, solidification, pattern formation, geophysical and technological applications. Major/Recent Publications:
Style, R. W., Peppin, S. S. L., Cocks, A. C. F. and Wettlaufer, J. S., Ice lens formation and geometrical supercooling in soils and other colloidal materials, Physical Review E, in press, 2011. Peppin, S. S. L., Majumdar, A., Style, R. W. and Sander, G., Frost heave in colloidal soils, SIAM Journal on Applied Mathematics, 71, pp1717--1732, 2011. Elliott, J. A. W. and Peppin, S. S. L., Particle trapping and banding in rapid colloidal solidification, Physical Review Letters, 107, 168301, 2011. Style, R. W. and Peppin, S. S. L., Mud peeling and horizontal crack formation in drying clays, Journal of Geophysical Research - Earth Surface, 116, F01025, 2011. Spannuth M, Mochrie, S. G. J., Peppin S. S. L and Wettlaufer, J. S., Particle-scale structure in frozen colloidal suspensions from small-angle x-ray scattering, Physical Review E, 83, 021402, 2011. Style R. W. and Peppin S. S. L., Crust formation in drying colloidal suspensions, Proceedings of the Royal Society of London, Series A, 467, pp174--193, 2011. Peppin, S. S. L, Majumdar, A. and Wettlaufer, J. S., Morphological instability of a nonequilibrium ice-colloid interface, Proceedings of the Royal Society of London. Series A, 466, pp177--194, 2010. Peppin, S. S. L., On diffusion and permeation, Journal of Non-Equilibrium Thermodynamics, 34, pp355--369, 2009. Peppin, S. S. L., Spannuth, M. and Wettlaufer, J. S., Onsager reciprocity in premelting solids, Journal of Statistical Physics, 134, 701--708, 2009. Peppin, S. S. L., Wettlaufer, J. S. and Worster, M. G., Experimental verification of morphological instability in freezing aqueous colloidal suspensions, Physical Review Letters, 100, 238301, 2008. Peppin, S. S. L., Huppert, H. E. and Worster, M. G., Steady-state solidification of aqueous ammonium chloride, Journal of Fluid Mechanics, 599, pp 465--476, 2008. Peppin, S. S. L., Worster, M. G. and Wettlaufer, J. S., Morphological instability in freezing colloidal suspensions, Proceedings of the Royal Society of London. Series A, 463, pp723--733, 2007. Peppin, S. S. L., Aussillous, P., Huppert, H. E., Worster, M. G., Steady-state mushy layers: Experiments and theory, Journal of Fluid Mechanics, 570, pp69--77, 2007. Peppin, S. S. L., Elliott, J. A. W. and Worster, M. G., Solidification of colloidal suspensions, Journal of Fluid Mechanics, 554, pp147--166, 2006. Peppin, S. S. L., Elliott, J. A. W. and Worster, M. G., Pressure and relative motion in colloidal suspensions, Physics of Fluids A, 15, 053301, 2005. Peppin, S. S. L. and Elliott, J. A. W., Non-equilibrium thermodynamics of ultrafiltration, Advances in Colloid and Interface Science, 92, pp 1--72, 2001. |
Postdoctoral Research Assistants
Research Students
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Further Details:
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Other Staff
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Research Interests:
Mathematical modelling of biological branching structures Plant soil modelling Cancer modelling Angiogenesis and lymphangiogenesis modelling Prizes, Awards and Scholarships:
Royal Society University Research Fellowship |