Mathematical Geoscience Members
Permanent Faculty
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Research Interests:
Mathematial modeling, applications to geoscience, fluid mechanics, solid mechanics. |
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. |
Postdoctoral Research Assistants
Research Students
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Research Interests:
Mantle convection and fluid dynamics Prizes, Awards and Scholarships:
Felix Scholarship 2011-2014 Teaching:
Teaching Assistant: 1. B6b Waves and Compressible Flow, Hilary Term 2012 2. B6a Viscous Flow, Michaelmas Term 2012 3. B5b Applied Partial Differential Equations, Hilary Term 2013 |
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 |