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Projects: Projects for Investigator
Reference Number EP/K034154/1
Title Enabling Quantification of Uncertainty for Large-Scale Inverse Problems (EQUIP)
Status Completed
Energy Categories Not Energy Related 25%;
Fossil Fuels: Oil Gas and Coal(Oil and Gas, Enhanced oil and gas production) 75%;
Research Types Basic and strategic applied research 100%
Science and Technology Fields PHYSICAL SCIENCES AND MATHEMATICS (Applied Mathematics) 60%;
ENVIRONMENTAL SCIENCES (Earth Systems and Environmental Sciences) 40%;
UKERC Cross Cutting Characterisation Not Cross-cutting 100%
Principal Investigator Professor A Stuart
No email address given
University of Warwick
Award Type Standard
Funding Source EPSRC
Start Date 01 June 2013
End Date 30 November 2018
Duration 66 months
Total Grant Value £2,048,925
Industrial Sectors Construction
Region West Midlands
Programme NC : Engineering, NC : Maths
Investigators Principal Investigator Professor A Stuart , Mathematics, University of Warwick (99.997%)
  Other Investigator Professor M Christie , Institute Of Petroleum Engineering, Heriot-Watt University (0.001%)
Professor G O Roberts , Statistics, University of Warwick (0.001%)
Professor M Girolami , Statistical Science, University College London (0.001%)
  Industrial Collaborator Project Contact , AWE Plc (0.000%)
Project Contact , BG Group (0.000%)
Project Contact , Rock Flow Dynamics (RFD), USA (0.000%)
Web Site
Abstract A mathematical model for a physical experiment is a set of equations which relate inputs to outputs. Inputs represent physical variables which can be adjusted before the experiment takes place; outputs represent quantities which can be measured as a result of the experiment.The forward problem refers to using the mathematical model to predict the output of an experiment from a given input. The inverse problem refers to using the mathematical model to make inferences about input(s) to the mathematical model which would result in a given measured output.An example concerns a mathematical model for oil reservoir simulation. An important input to the model is the permeability of the subsurface rock. A natural output would be measurements of oil and/or water flow out of production wells. Since the subsurface is not directly observable, the problem of inferring its properties from measurements at production wells is particularly important. Accurate inference enables decisions to be made about the economic viability of drilling a well, and about well-placement.In many inverse problems the measured data is subject to noise, and the mathematical model may be imperfect. It is then very important to quantify the uncertainty inherent in any inferences made as part of the solution to the inverse problem. The work brings together a team of mathematical scientists, with expertise in applied mathematics, computer science and statistics, together with engineering applications, to develop new methods for solving inverse problems, including the quantification of uncertainty. The work will be driven by applications in the determination of subsurface properties, but will have application to a range of problems in the biological, physical and social sciences
Publications (none)
Final Report (none)
Added to Database 14/08/13