PhD Studentship - Efficient Techniques for Heterogeneous Non-Local Flow Models

University of Nottingham - Mathematical Sciences

Location: University Park

Supervised by Dr. Donald L. Brown

This project will be based at the University of Nottingham in the School of Mathematical Sciences.

Understanding flow and transport is critical for mitigating environmental impacts in groundwater flow and improving recovery in conventional oil and gas reservoirs. The central challenges being the heterogeneity and uncertainty of the subsurface properties. Often standard local Darcy flow models are not sufficient to describe the underlying physics, as is the case of the famous MacroDispersion Experiment (MADE). Non-local fractional flow models have thus been proposed, stimulating a great variety of exciting research, both computationally and mathematically. The challenge with these models is the non-locality coupled with the multiscale nature making them often computationally intractable. However, with the development of efficient multiscale methods to bridge the scales, as well as the additional extra spatial dimensions to localize the problem, allow for possible efficient computational techniques to attack these problems.

This PhD studentship aims to develop efficient techniques to better understand such complicated flow models. For this project, there is flexibility from being very applied with real-data integration to very theoretical, dependent on student background and interests. For this project, persons with experience with numerical methods as well as ability to program in MATLAB or other programming languages would be at an advantage. This project will have considerable interaction with the GeoEnergy Research Centre (GERC) and British Geological Survey (BGS).

Summary: UK/EU students - Tuition Fees paid, and full Stipend at the RCUK rate, which is £14,296 per annum for 2016/17. There will also be some support available for you to claim for limited conference attendance. The scholarship length will be 3 or 3.5, depending on the qualifications and training needs of the successful applicant.

This scholarship can be extended to cover full international fees. Interested full international students must apply by 15 January 2017, at the latest.

Eligibility/Entry Requirements: We require an enthusiastic graduate with a 1st class degree in Mathematics (or other highly mathematical field such as Engineering), preferably at MMath/MSc level, or an equivalent overseas degree (in exceptional circumstances a 2:1 class degree, or equivalent, can be considered).

Apply: This studentship is available to start from September 2017 and remain open until it is filled. To apply please visit the University Of Nottingham application page:

For any enquiries please email:

This studentship is open until filled. Early application is strongly encouraged. 

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Midlands of England