The MIIS Eprints Archive: No conditions. Results ordered -Date Deposited. 2021-08-05T15:43:14ZEPrintshttp://miis.maths.ox.ac.uk/images/sitelogo.gifhttp://miis.maths.ox.ac.uk/miis/2008-10-07Z2015-05-29T19:48:27Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/162This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/1622008-10-07ZOptimal Strategy for Imperial Oil's Cold Lake FacilitiesOptimizing the performance of the entire Cold Lake system seems to be an impossible task at first. It was therefore decided that solving a scaled-down version of the problem would be more productive, and help understand the full problem better and identify suitable mathematical models.

The first part of the report summarizes the discussions and the models proposed for a four-well problem. Because the models are non-linear, one of their major draw-backs is that they quickly become very computationally expensive, and are impractical for the number of wells at Cold Lake.

The second part of the report discusses a new approach to the problem, where it has been formulated as a linear programming problem, and its size is independent on the number of wells. Results for a test case are presented.Huaxiong Huang2008-10-07Z2015-05-29T19:48:28Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/163This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/1632008-10-07ZStatistical Design of an Experimental Problem in HarmonicsThe Michelin Tire Company requires its tires to be very uniform in order to provide a smooth, quiet ride. The design of the appropriate manufacturing technique leads to a problem in harmonic analysis, and to the problem of the design of a statistical experiment to accurately measure the harmonic components contributing to a measured force on the tire. Optimal designs were developed, as well as a number of useful Monte Carlo methods. MATLAB codes of the tests are provided.Michael Lamoureux2008-10-07Z2015-05-29T19:48:30Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/164This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/1642008-10-07ZDesigning Incentive-Alignment Contracts in a Principal-Agent Setting in the Presence of Real OptionsWe develop a model of incentive compensation for optimal upgrades supplied by an outsourced Information Technology department. We first consider the problem when the rate of technological development is certain and there are no information asymmetries between the parties. We extend this to allow private information between the principal and an agent acting as an external supplier of information technology upgrades. Based on the model in these simple circumstances, we then model uncertain technological improvements, where improvements evolve as Geometric Brownian motion, and there is benefit to flexibility in the timing of the upgrade. We are aware of contracts, known as "evergreen upgrades", where a principal pays for upgrades at specified intervals. We find little support for such a contract in our model, and the loss of flexibility in the timing of upgrades is puzzling. The Stern-Stewart problem encourages us to consider just such instances, where contracts limit flexibility that it may in the interest of both parties to retain.Tom CottrellDan Calistrate2008-10-07Z2015-05-29T19:48:31Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/165This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/1652008-10-07ZElectromagnetic Wellbore HeatingWe are interested in developing a mathematical model of this problem with the ultimate aim of investigating analytically the relationship between the temperature of the electromagnetic induction tool (EMIT) and the production rate of the oil.

The purpose of this paper is to carefully analyse each of the physical processes in the full system of partial differential equations describing the problem and by making some basic assumptions, derive a simple set of equations that captures the main features of the system solved with an expensive CFD program.

We find considerable qualitative agreement between numerical results of the simplified model and those of the CFD program, which is quite remarkable considering their relative complexities.C. Sean Bohun2008-10-07Z2015-05-29T19:48:32Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/166This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/1662008-10-07ZThe Tennis Ball ProblemStereoscopic vision is a well-established phenomenon: biological evolution showed its utility in ancient times. In this workshop, we have examined some subtleties and limitations in applying this old concept to an entirely new application: with modern technology, we attempt to track the position of an early segment of a flying object, and then extrapolate its later trajectory.Kell Cheng