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Rebecca Patterson

Math-based model for deep-water oil drilling - 0 views

  • The deeper the well, the higher the pressure, and the higher the risks associated with tapping oil from wells. During drilling, when the pressure applied to balance the hydrocarbon pressure in a well is not great enough to overcome that exerted by gas and fluids in the rock formation drilled, water, gas, oil, or other formation fluid can enter the hole. This is called a "gas kick," which in worst-case scenarios can lead to blowouts. In a paper published earlier this month in the SIAM Journal on Mathematical Analysis, author Steinar Evjepresents new analysis of a mathematical model that has applications to the study of such gas kicks in deep-water oil wells.
  • Simulators have become an important tool for the development of new, more efficient and safer drilling methods.
  • The use of mathematical models is important for the development of tools that can help simulate, and hence, increase control in deep-water well operations.
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  • "A simulator for drilling operations is composed of a set of nonlinear coupled partial differential equations that describe the simultaneous flow of hydrocarbons in a well. This mathematical model represents a 'virtual laboratory' where the finer mechanisms related to a number of different physical effects can be studied in detail," Evje goes on to explain.
  • In order to compute reliable solutions, it is crucial to have a model that is well defined mathematically. Mathematical methods are applied in order to derive upper and lower limits for various quantities like masses and fluid velocities, which provide insight into the parameters that are important for the control of these quantities. In addition, they allow proof of the existence of solutions for the model in a strict mathematical sense. In this paper, the author demonstrates that under certain assumptions, a solution exists.
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    Another applied mathematics scenario. (no stats - maybe I need to make a new group?)
Rebecca Patterson

Mathematical model predicts weight with varying diet, exercise changes; Findings challe... - 0 views

  • Researchers at the National Institutes of Health have created a mathematical model -- and an accompanying online weight simulation tool -- of what happens when people of varying weights, diets and exercise habits try to change their weight.
  • However, the computer simulation of metabolism is meant as a research tool and not as a weight-loss guide for the public. The computer program can run simulations for changes in calories or exercise that would never be recommended for healthy weight loss. The researchers hope to use the knowledge gained from developing the model and from clinical trials in people to refine the tool for everyone.
  • "Mathematical modeling lets us make and test predictions about changes in weight and metabolism over time," Hall said. "We're developing research tools to accurately simulate physiological differences between people based on gender, age, height, and weight, as well as body fat and resting metabolic rate."
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  • Moving toward that goal, a more comprehensive mathematical model of human metabolism was used recently to design an NIH clinical trial that is comparing the effects of reducing fats versus carbohydrates in obese adults.
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    Not really stats here, but a mathematical model used for application. Great use of applied math.
Rebecca Patterson

How to Fix Our Math Education - 0 views

  • The truth is that different sets of math skills are useful for different careers, and our math education should be changed to reflect this fact.
  • The truth is that different sets of math skills are useful for different careers, and our math education should be changed to reflect this fact.
  • The truth is that different sets of math skills are useful for different careers, and our math education should be changed to reflect this fact.
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  • This highly abstract curriculum is simply not the best way to prepare a vast majority of high school students for life.
  • most citizens would be better served by studying how mortgages are priced, how computers are programmed and how the statistical results of a medical trial are to be understood.
  • there is a world of difference between teaching “pure” math, with no context, and teaching relevant problems that will lead students to appreciate how a mathematical formula models and clarifies real-world situations.
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    "The truth is that different sets of math skills are useful for different careers, and our math education should be changed to reflect this fact. "
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