A Numerical Sensitivity Analysis Of Streamline Simulation
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A Numerical Sensitivity Analysis Of Streamline Simulation
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Author : Fady Ruben Chaban Habib
language : en
Publisher:
Release Date : 2005
A Numerical Sensitivity Analysis Of Streamline Simulation written by Fady Ruben Chaban Habib and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Nowadays, field development strategy has become increasingly dependent on the results of reservoir simulation models. Reservoir studies demand fast and efficient results to make investment decisions that require a reasonable trade off between accuracy and simulation time. One of the suitable options to fulfill this requirement is streamline reservoir simulation technology, which has become very popular in the last few years. Streamline (SL) simulation provides an attractive alternative to conventional reservoir simulation because SL offers high computational efficiency and minimizes numerical diffusion and grid orientation effects. However, streamline methods have weaknesses incorporating complex physical processes and can also suffer numerical accuracy problems. The main objective of this research is to evaluate the numerical accuracy of the latest SL technology, and examine the influence of different factors that may impact the solution of SL simulation models. An extensive number of numerical experiments based on sensitivity analysis were performed to determine the effects of various influential elements on the stability and results of the solution. Those experiments were applied to various models to identify the impact of factors such as mobility ratios, mapping of saturation methods, number of streamlines, time step sizes, and gravity effects. This study provides a detailed investigation of some fundamental issues that are currently unresolved in streamline simulation.
Numerical Methods In Sensitivity Analysis And Shape Optimization
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Author : Emmanuel Laporte
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-12-13
Numerical Methods In Sensitivity Analysis And Shape Optimization written by Emmanuel Laporte and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-13 with Mathematics categories.
Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers. Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.
Sensitivity Technologies For Large Scale Simulation
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Author : Curtis Curry Ober
language : en
Publisher:
Release Date : 2005
Sensitivity Technologies For Large Scale Simulation written by Curtis Curry Ober and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Sensitivity analysis is critically important to numerous analysis algorithms, including large scale optimization, uncertainty quantification, reduced order modeling, and error estimation. Our research focused on developing tools, algorithms and standard interfaces to facilitate the implementation of sensitivity type analysis into existing code and equally important, the work was focused on ways to increase the visibility of sensitivity analysis. We attempt to accomplish the first objective through the development of hybrid automatic differentiation tools, standard linear algebra interfaces for numerical algorithms, time domain decomposition algorithms and two level Newton methods. We attempt to accomplish the second goal by presenting the results of several case studies in which direct sensitivities and adjoint methods have been effectively applied, in addition to an investigation of h-p adaptivity using adjoint based a posteriori error estimation. A mathematical overview is provided of direct sensitivities and adjoint methods for both steady state and transient simulations. Two case studies are presented to demonstrate the utility of these methods. A direct sensitivity method is implemented to solve a source inversion problem for steady state internal flows subject to convection diffusion. Real time performance is achieved using novel decomposition into offline and online calculations. Adjoint methods are used to reconstruct initial conditions of a contamination event in an external flow. We demonstrate an adjoint based transient solution. In addition, we investigated time domain decomposition algorithms in an attempt to improve the efficiency of transient simulations. Because derivative calculations are at the root of sensitivity calculations, we have developed hybrid automatic differentiation methods and implemented this approach for shape optimization for gas dynamics using the Euler equations. The hybrid automatic differentiation method was applied to a first order approximation of the Euler equations and used as a preconditioner. In comparison to other methods, the AD preconditioner showed better convergence behavior. Our ultimate target is to perform shape optimization and hp adaptivity using adjoint formulations in the Premo compressible fluid flow simulator. A mathematical formulation for mixed-level simulation algorithms has been developed where different physics interact at potentially different spatial resolutions in a single domain. To minimize the implementation effort, explicit solution methods can be considered, however, implicit methods are preferred if computational efficiency is of high priority. We present the use of a partial elimination nonlinear solver technique to solve these mixed level problems and show how these formulation are closely coupled to intrusive optimization approaches and sensitivity analyses. Production codes are typically not designed for sensitivity analysis or large scale optimization. The implementation of our optimization libraries into multiple production simulation codes in which each code has their own linear algebra interface becomes an intractable problem. In an attempt to streamline this task, we have developed a standard interface between the numerical algorithm (such as optimization) and the underlying linear algebra. These interfaces (TSFCore and TSFCoreNonlin) have been adopted by the Trilinos framework and the goal is to promote the use of these interfaces especially with new developments. Finally, an adjoint based a posteriori error estimator has been developed for discontinuous Galerkin discretization of Poisson's equation. The goal is to investigate other ways to leverage the adjoint calculations and we show how the convergence of the forward problem can be improved by adapting the grid using adjoint-based error estimates. Error estimation is usually conducted with continuous adjoints but if discrete adjoints are available it may be possible to reuse the discrete version for error estimation. We investigate the advantages and disadvantages of continuous and discrete adjoints through a simple example.
Design Sensitivity Analysis
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Author : Lisa G. Stanley
language : en
Publisher: SIAM
Release Date : 2002-01-01
Design Sensitivity Analysis written by Lisa G. Stanley and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Mathematics categories.
Illustrates some of the important issues inherent in using the sensitivity equation method for PDEs.
A Sensitivity Analysis Method For Determining Simulation Model Output Degradation In Response To Physical System Alteration
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Author : Lissa Galbraith
language : en
Publisher:
Release Date : 1984
A Sensitivity Analysis Method For Determining Simulation Model Output Degradation In Response To Physical System Alteration written by Lissa Galbraith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Factorial experiment designs categories.
Sensitivity And Uncertainty Analysis Volume Ii
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Author : Dan G. Cacuci
language : en
Publisher: CRC Press
Release Date : 2005-05-16
Sensitivity And Uncertainty Analysis Volume Ii written by Dan G. Cacuci and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-16 with Mathematics categories.
As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable scientific tools. Sensitivity and Uncertainty Analysis. Volume I: Theory focused on the mathematical underpinnings of two important methods for such analyses: the Adjoint Sensitivity Analysis Procedure and the Global Adjoint Sensitivity Analysis Procedure. This volume concentrates on the practical aspects of performing these analyses for large-scale systems. The applications addressed include two-phase flow problems, a radiative convective model for climate simulations, and large-scale models for numerical weather prediction.
Approximation Methods For High Dimensional Simulation Results Parameter Sensitivity Analysis And Propagation Of Variations For Process Chains
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Author : Daniela Steffes-lai
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2014
Approximation Methods For High Dimensional Simulation Results Parameter Sensitivity Analysis And Propagation Of Variations For Process Chains written by Daniela Steffes-lai and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
This work addresses the analysis of a sequential chain of processing steps, which is particularly important for the manufacture of robust product components. In each processing step, the material properties may have changed and distributions of related characteristics, for example, strains, may become inhomogeneous. For this reason, the history of the process including design-parameter uncertainties becomes relevant for subsequent processing steps. Therefore, we have developed a methodology, called PRO-CHAIN, which enables an efficient analysis, quantification, and propagation of uncertainties for complex process chains locally on the entire mesh. This innovative methodology has the objective to improve the overall forecast quality, specifically, in local regions of interest, while minimizing the computational effort of subsequent analysis steps. We have demonstrated the benefits and efficiency of the methodology proposed by means of real applications from the automotive industry.
Sensitivity Analysis In Practice
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Author : Andrea Saltelli
language : en
Publisher: John Wiley & Sons
Release Date : 2004-07-16
Sensitivity Analysis In Practice written by Andrea Saltelli and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-16 with Mathematics categories.
Sensitivity analysis should be considered a pre-requisite for statistical model building in any scientific discipline where modelling takes place. For a non-expert, choosing the method of analysis for their model is complex, and depends on a number of factors. This book guides the non-expert through their problem in order to enable them to choose and apply the most appropriate method. It offers a review of the state-of-the-art in sensitivity analysis, and is suitable for a wide range of practitioners. It is focussed on the use of SIMLAB – a widely distributed freely-available sensitivity analysis software package developed by the authors – for solving problems in sensitivity analysis of statistical models. Other key features: Provides an accessible overview of the current most widely used methods for sensitivity analysis. Opens with a detailed worked example to explain the motivation behind the book. Includes a range of examples to help illustrate the concepts discussed. Focuses on implementation of the methods in the software SIMLAB - a freely-available sensitivity analysis software package developed by the authors. Contains a large number of references to sources for further reading. Authored by the leading authorities on sensitivity analysis.
Waterflood Optimization Using Streamlines And Reservoir Management Risk Analysis With Market Uncertainty
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Author : Tailai Wen
language : en
Publisher:
Release Date : 2014
Waterflood Optimization Using Streamlines And Reservoir Management Risk Analysis With Market Uncertainty written by Tailai Wen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Waterflooding is a common oil recovery method in which water is injected into an oil reservoir using strategically placed injectors to maintain pressure and sweep oil to production wells. Waterflood performance of mature fields can be improved significantly by modifying injection and production rates at individual wells. Compared to improving production through infill wells, rate changes are economical and readily implemented. In most traditional optimization methods, the number of evaluations of the objective function at each optimization step is of the same order as the number of control variables. As a result, applying traditional optimization methods to the exploitation of mature waterfloods generally involves elevated computational costs. In the first half of this dissertation, we propose a new optimization method based on flux patterns in which the number of simulations per optimization step is independent of the number of control variables. At each optimization step, our method approximates the complicated objective function of well rates by means of a local linear sensitivity analysis based on the flux patterns generated by streamline simulation or a finite-volume flow diagnostic technique. The generation of the flux patterns requires only a single simulation. This sensitivity analysis allows the oil/water production rates to be estimated as linear functions of well rates, and hence it locally linearizes the objective function. Using the linearized objective function within this optimization step does not require additional simulation until the determination of next optimization step, which reduces the computational cost dramatically compared to traditional optimization approaches. This core idea is also generalized for longterm optimization problems in two ways: one using an analytical decline model and the other using flow fraction information between wells. We demonstrate the method using several waterflooding scenarios. We find solutions that yield good operational strategies at significantly reduced computational cost. The efficiency of the method makes the approach powerful and applicable to mature waterfloods currently operated around the world. While the application of formal optimization techniques in reservoir management has lately received significant attention in the oil industry, the realization of long-term optimum production strategies is still challenging, partially because of the uncertainty associated with the future oil price. In the second half of this dissertation, we propose a risk measure of a given production strategy with respect to the market uncertainty. This measure is interpreted as the value of the knowledge of oil price associated with the assumed stochastic distribution of the uncertain market variables. However, with the computational cost increasing with the number of market scenarios, the computation of this risk measure with reservoir simulation directly is numerically infeasible when the market model is complex. We present a numerical approach to estimate the upper and lower bounds of this risk measure efficiently, where computational cost does not increase with the number of possible oil price scenarios. The tightness of the bounds can be controlled according to the user's computational capability. We also generalize the risk measure and its corresponding estimation approach to the case where the stochastic distribution of market variables is not fully known (i.e. the case with distributional uncertainty). Comparing the risk measured with a base market model to the risk measured with an upgraded market model with additional stochastic information, the difference between these two values of the risk measure implies the monetary value of the additional information in the upgraded market model. This value might be used to decide if it is worthwhile to invest capital that aims at improving the oil price forecast or reducing market uncertainty. Our approach is validated on several fields undergoing waterflooding. In each case we consider a large number of market scenarios to analyze their impact on performing waterflooding optimization, and we estimate the monetary value associated with different degrees of uncertainty in market forecasts.
Streamline Simulation
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Author : Akhil Datta-Gupta
language : en
Publisher:
Release Date : 2007
Streamline Simulation written by Akhil Datta-Gupta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Business & Economics categories.
Streamline-Simulation emphasizes the unique features of streamline technology that in many ways complement conventional finite-difference simulation. It fills gaps in the mathematical foundations.