Multilevel Monte Carlo Method with Application to Uncertainty Quantification in Oil Reservoir Simulation

An ensemble of simulations covering the present day observational period using forced sea surface temperatures and prescribed sea-ice extent is configured with a spectral transform dynamical core (T85) within the Community Atmosphere Model (CAM), version 4, and is evaluated relative to observed and model derived datasets. The spectral option is well-known and its relative computational efficiency for smaller computing platforms allows it to be extended to perform high-resolution climate length simulations.

[1]  이성수,et al.  Simulation , 2006, Healthcare Simulation at a Glance.

[2]  Yaxing Wei,et al.  Daymet: Daily Surface Weather Data on a 1-km Grid for North America, Version 3 , 2016 .

[3]  Jeffrey S. Vetter,et al.  AYUSH: A Technique for Extending Lifetime of SRAM-NVM Hybrid Caches , 2015, IEEE Computer Architecture Letters.

[4]  Klaus Ritter,et al.  Multilevel Monte Carlo Approximation of Distribution Functions and Densities , 2015, SIAM/ASA J. Uncertain. Quantification.

[5]  Bobby Philip,et al.  A parallel multi-domain solution methodology applied to nonlinear thermal transport problems in nuclear fuel pins , 2014, J. Comput. Phys..

[6]  Zhao Zhang,et al.  Encache: a Dynamic Profiling-Based Reconfiguration Technique for Improving Cache Energy Efficiency , 2014, J. Circuits Syst. Comput..

[7]  Ming Ye,et al.  A computer program for uncertainty analysis integrating regression and Bayesian methods , 2014, Environ. Model. Softw..

[8]  Ez,et al.  Perspective: The Climate-Population-Infrastructure Modelling and Simulation Fertile Area for New Research , 2014 .

[9]  Overview of SIMS-Based Experimental Studies of Tracer Diffusion in Solids and Application to Mg Self-Diffusion , 2014 .

[10]  B. Sumpter,et al.  Structure and dynamics of confined flexible and unentangled polymer melts in highly adsorbing cylindrical pores. , 2014, The Journal of chemical physics.

[11]  B. Sumpter,et al.  Structural Evolution of Polylactide Molecular Bottlebrushes: Kinetics Study by Size Exclusion Chromatography, Small Angle Neutron Scattering, and Simulations. , 2014, ACS macro letters.

[12]  S. Simunovic,et al.  Oxygen Diffusion Model using the THERMOCHIMICA Module in Moose/Bison , 2014 .

[13]  Ren-Cang Li,et al.  GIP integrators for Matrix Riccati Differential Equations , 2014, Appl. Math. Comput..

[14]  Thomas Elder,et al.  Density functional theory study of the concerted pyrolysis mechanism for lignin models , 2014 .

[15]  George Ostrouchov,et al.  Uncertainty Analysis of a Heavily Instrumented Building at Different Scales of Simulation , 2014 .

[16]  Mark R. Fahey.  A leap forward with UTK's Cray XC30 , 2014, XSEDE '14.

[17]  Dong Li,et al.  LastingNVCache: A Technique for Improving the Lifetime of Non-volatile Caches , 2014, 2014 IEEE Computer Society Annual Symposium on VLSI.

[18]  Sparsh Mittal,et al.  A Survey of Techniques for Managing and Leveraging Caches in GPUs , 2014, J. Circuits Syst. Comput..

[19]  Sean C. Smith,et al.  Theoretical Predictions of Freestanding Honeycomb Sheets of Cadmium Chalcogenides , 2014 .

[20]  Sparsh Mittal,et al.  Power Management Techniques for Data Centers: A Survey , 2014, ArXiv.

[21]  Y. Deng,et al.  Intermediate frequency atmospheric disturbances: A dynamical bridge connecting western U.S. extreme precipitation with East Asian cold surges , 2014 .

[22]  P. Kent,et al.  Vibrational Density of States of Strongly H Bonded Interfacial Water:Insights from Inelastic Neutron Scattering and Theory , 2014 .

[23]  R. Langan,et al.  Stochastic Parameterization to Represent Variability and Extremes in Climate Modeling , 2014, ICCS.

[24]  Dali Wang,et al.  A Web-based Visual Analytic System for Understanding the Structure of Community Land Model , 2014 .

[25]  Teng Wang,et al.  BurstMem: A high-performance burst buffer system for scientific applications , 2014, 2014 IEEE International Conference on Big Data (Big Data).

[26]  Gregory A. Koenig,et al.  Modeling the Effects on Power and Performance from Memory Interference of Co-located Applications in Multicore Systems , 2014 .

[27]  J. Vetter,et al.  LastingNVCache : Extending the Lifetime of Non-volatile Caches using Intra-set Wear-leveling , 2014 .

[28]  Assyr Abdulle,et al.  Stabilized multilevel Monte Carlo method for stiff stochastic differential equations , 2013, J. Comput. Phys..

[29]  Ming Ye,et al.  An adaptive sparse‐grid high‐order stochastic collocation method for Bayesian inference in groundwater reactive transport modeling , 2013 .

[30]  Robert Scheichl,et al.  Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods , 2013, SIAM J. Numer. Anal..

[31]  Elisabeth Ullmann,et al.  Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients , 2012, Numerische Mathematik.

[32]  C. Hauck,et al.  On Cellular Automata Models of Traffic Flow with Look-Ahead Potential , 2012, 1209.5802.

[33]  P. Kent,et al.  Density functional theory study of oxygen reduction activity on ultrathin platinum nanotubes , 2012 .

[34]  Peter E. Kloeden,et al.  Multilevel Monte Carlo for stochastic differential equations with additive fractional noise , 2011, Ann. Oper. Res..

[35]  Andrea Barth,et al.  Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients , 2011, Numerische Mathematik.

[36]  K. A. Cliffe,et al.  Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients , 2011, Comput. Vis. Sci..

[37]  G. Mahinthakumar,et al.  Modeling Subsurface Reactive Flows Using Leadership-Class Computing , 2009 .

[38]  Michael B. Giles,et al.  Multilevel Monte Carlo Path Simulation , 2008, Oper. Res..

[39]  Dongxiao Zhang,et al.  Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods , 2007 .

[40]  Daniel M. Tartakovsky,et al.  Nonlocal and localized analyses of conditional mean transient flow in bounded, randomly heterogeneous porous media , 2004 .

[41]  E. Paleologos,et al.  Stochastic Methods for Flow in Porous Media, Coping With Uncertainties , 2003 .

[42]  Martin J. Blunt,et al.  Streamline-Based Dual Porosity Simulation of Fractured Reservoirs , 2003 .

[43]  Stefan Heinrich,et al.  Multilevel Monte Carlo Methods , 2001, LSSC.

[44]  Michael Andrew Christie,et al.  Tenth SPE Comparative Solution Project: a comparison of upscaling techniques , 2001 .

[45]  Alberto Guadagnini,et al.  Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains: 2. Computational examples , 1999 .

[46]  Alberto Guadagnini,et al.  Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains: 1. Theory and computational approach , 1999 .

[47]  Roger Ghanem,et al.  Scales of fluctuation and the propagation of uncertainty in random porous media , 1998 .

[48]  J. Gómez-Hernández,et al.  Upscaling hydraulic conductivities in heterogeneous media: An overview , 1996 .

[49]  Clayton V. Deutsch,et al.  GSLIB: Geostatistical Software Library and User's Guide , 1993 .

[50]  V. Alekseev.  Estimation of a probability density function and its derivatives , 1972 .

[51]  E. F. Schuster.  Estimation of a Probability Density Function and Its Derivatives , 1969 .

[52]  Paul Yoder,et al.  Further analysis of the , 1959 .