Practical neural network recipes in C++
Practical neural network recipes in C++
An introduction to genetic algorithms
An introduction to genetic algorithms
Prediction and the quantification of uncertainty
Physica D - Special issue originating from the 18th Annual International Conference of the Center for Nonlinear Studies, Los Alamos, NM, May 11&mdash ;15, 1998
Evolutionary Design by Computers with CDrom
Evolutionary Design by Computers with CDrom
Neural Networks: A Comprehensive Foundation
Neural Networks: A Comprehensive Foundation
Neural Networks for Pattern Recognition
Neural Networks for Pattern Recognition
Baysian Nonparametrics via Neural Networks
Baysian Nonparametrics via Neural Networks
Inverse Problem Theory and Methods for Model Parameter Estimation
Inverse Problem Theory and Methods for Model Parameter Estimation
Numerical analysis of the Burgers' equation in the presence of uncertainty
Journal of Computational Physics
An exponential integrator for advection-dominated reactive transport in heterogeneous porous media
Journal of Computational Physics
Bayesian estimates of parameter variability in the k-ε turbulence model
Journal of Computational Physics
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Uncertainty quantification is an increasingly important aspect of many areas of computational science, where the challenge is to make reliable predictions about the performance of complex physical systems in the absence of complete or reliable data. Predicting flows of oil and water through oil reservoirs is an example of a complex system where accuracy in prediction is needed primarily for financial reasons. Simulation of fluid flow in oil reservoirs is usually carried out using large commercially written finite difference simulators solving conservation equations describing the multi-phase flow through the porous reservoir rocks. This paper examines a Bayesian Framework for uncertainty quantification in porous media flows that uses a stochastic sampling algorithm to generate models that match observed data. Machine learning algorithms are used to speed up the identification of regions in parameter space where good matches to observed data can be found.