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Velocity Model Building Using Shape Optimization Applied to Level Sets

Author : Taylor Jerome Dahlke
Publisher :
Page : pages
File Size : 23,5 MB
Release : 2019
Category :
ISBN :

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As oil and gas extraction becomes more advanced, exploration becomes increasingly focused on imaging near or under complex salt geology, which necessitates detailed velocity models with sharp interfaces. Current state-of-the-art practices include the use of Full-Waveform Inversion (FWI). However, this type of approach can result in salt body models that lack the sharp interfaces characteristic of this type of geobody. This is typically due to the computational expense of using increasingly high frequencies in the data. These interfaces can be elegantly tracked as sharp boundaries using the level sets of an implicit surface. Used in conjunction with shape optimization, one can invert for salt boundaries that fit recorded data in a FWI style objective function that is parameterized in terms of both the implicit surface and a background velocity model. While this addition of the implicit surface requires more model parameters, radial basis functions can be used to create a sparse parameterization of it, which can hasten convergence of the inversion. The implicit surface also allows for embedding information about the certainty of different salt boundary regions by means of its initialization. This information allows for intelligent guidance of the inversion based on interpreter input, which can help the inversion avoid local minima. The result of testing this inversion workflow on a 3D Gulf of Mexico dataset shows that it can be a useful tool for refining salt models, as the seismic images produced from the final model shows clearer and more consistent features below the updated salt area.

Applied Shape Optimization for Fluids

Author : Bijan Mohammadi
Publisher : OUP Oxford
Page : 296 pages
File Size : 50,47 MB
Release : 2009-09-24
Category : Mathematics
ISBN : 0199546908

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The fields of computational fluid dynamics (CFD) and optimal shape design (OSD) have received considerable attention in the recent past, and are of practical importance for many engineering applications.This new edition of Applied Shape Optimization for Fluids deals with shape optimization problems for fluids, with the equations needed for their understanding (Euler and Navier Strokes, but also those for microfluids) and with the numerical simulation of these problems. It presents the state of the art in shape optimization for an extended range of applications involving fluid flows. Automatic differentiation, approximate gradients, unstructured mesh adaptation, multi-modelconfigurations, and time-dependent problems are introduced, and their implementation into the industrial environments of aerospace and automobile equipment industry explained and illustrated.With the increases in the power of computers in industry since the first edition, methods which were previously unfeasible have begun giving results, namely evolutionary algorithms, topological optimization methods, and level set algortihms. In this edition, these methods have been treated in separate chapters, but the book remains primarily one on differential shape optimization.This book is essential reading for engineers interested in the implementation and solution of optimization problems using commercial packages or in-house solvers and graduates and researchers in applied mathematics, aerospace, or mechanical engineering, fluid dynamics, and CFD. More generally, anyone needing to understand and solve design problems or looking for new exciting areas for research and development in this area will find this book useful, especially in applying the methodology topractical problems.

The Feature-Driven Method for Structural Optimization

Author : Weihong Zhang
Publisher : Elsevier
Page : 350 pages
File Size : 19,24 MB
Release : 2020-11-05
Category : Computers
ISBN : 0128213310

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The Feature-Driven Method for Structural Optimization details a novel structural optimization method within a CAD framework, integrating structural optimization and feature-based design. The book presents cutting-edge research on advanced structures and introduces the feature-driven structural optimization method by regarding engineering features as basic design primitives. Consequently, it presents a method that allows structural optimization and feature design to be done simultaneously so that feature attributes are preserved throughout the design process. The book illustrates and supports the effectiveness of the method described, showing potential applications through numerical modeling techniques and programming. This volume presents a high-performance optimization method adapted to engineering structures—a novel perspective that will help engineers in the computation, modeling and design of advanced structures. Integrates two independent methods - structural optimization and feature-based design—into one framework Adapts the high performance optimization method to the practice of designing engineering structures Provides numerical evidence for the effectiveness and potential of the methods described Works within a computer-aided design framework to develop a novel structural optimization methodology Presents engineering features as the basic design primitives in structural optimization

Shape Optimization under Uncertainty from a Stochastic Programming Point of View

Author : Harald Held
Publisher : Springer Science & Business Media
Page : 140 pages
File Size : 33,31 MB
Release : 2010-05-30
Category : Mathematics
ISBN : 383489396X

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Optimization problems are relevant in many areas of technical, industrial, and economic applications. At the same time, they pose challenging mathematical research problems in numerical analysis and optimization. Harald Held considers an elastic body subjected to uncertain internal and external forces. Since simply averaging the possible loadings will result in a structure that might not be robust for the individual loadings, he uses techniques from level set based shape optimization and two-stage stochastic programming. Taking advantage of the PDE’s linearity, he is able to compute solutions for an arbitrary number of scenarios without significantly increasing the computational effort. The author applies a gradient method using the shape derivative and the topological gradient to minimize, e.g., the compliance and shows that the obtained solutions strongly depend on the initial guess, in particular its topology. The stochastic programming perspective also allows incorporating risk measures into the model which might be a more appropriate objective in many practical applications.

EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization

Author : H.C. Rodrigues
Publisher : Springer
Page : 1486 pages
File Size : 20,75 MB
Release : 2018-09-13
Category : Technology & Engineering
ISBN : 3319977733

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The papers in this volume focus on the following topics: design optimization and inverse problems, numerical optimization techniques,efficient analysis and reanalysis techniques, sensitivity analysis and industrial applications. The conference EngOpt brings together engineers, applied mathematicians and computer scientists working on research, development and practical application of optimization methods in all engineering disciplines and applied sciences.

Recent Advances in Computational and Experimental Mechanics, Vol—I

Author : D. Maity
Publisher : Springer Nature
Page : 656 pages
File Size : 26,58 MB
Release : 2022-01-01
Category : Technology & Engineering
ISBN : 9811667381

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This book (Vol. - I) presents select proceedings of the first Online International Conference on Recent Advances in Computational and Experimental Mechanics (ICRACEM 2020) and focuses on theoretical, computational and experimental aspects of solid and fluid mechanics. Various topics covered are computational modelling of extreme events; mechanical modelling of robots; mechanics and design of cellular materials; mechanics of soft materials; mechanics of thin-film and multi-layer structures; meshfree and particle based formulations in continuum mechanics; multi-scale computations in solid mechanics, and materials; multiscale mechanics of brittle and ductile materials; topology and shape optimization techniques; acoustics including aero-acoustics and wave propagation; aerodynamics; dynamics and control in micro/nano engineering; dynamic instability and buckling; flow-induced noise and vibration; inverse problems in mechanics and system identification; measurement and analysis techniques in nonlinear dynamic systems; multibody dynamical systems and applications; nonlinear dynamics and control; stochastic mechanics; structural dynamics and earthquake engineering; structural health monitoring and damage assessment; turbomachinery noise; vibrations of continuous systems, characterization of advanced materials; damage identification and non-destructive evaluation; experimental fire mechanics and damage; experimental fluid mechanics; experimental solid mechanics; measurement in extreme environments; modal testing and dynamics; experimental hydraulics; mechanism of scour under steady and unsteady flows; vibration measurement and control; bio-inspired materials; constitutive modelling of materials; fracture mechanics; mechanics of adhesion, tribology and wear; mechanics of composite materials; mechanics of multifunctional materials; multiscale modelling of materials; phase transformations in materials; plasticity and creep in materials; fluid mechanics, computational fluid dynamics; fluid-structure interaction; free surface, moving boundary and pipe flow; hydrodynamics; multiphase flows; propulsion; internal flow physics; turbulence modelling; wave mechanics; flow through porous media; shock-boundary layer interactions; sediment transport; wave-structure interaction; reduced-order models; turbo-machinery; experimental hydraulics; mechanism of scour under steady and unsteady flows; applications of machine learning and artificial intelligence in mechanics; transport phenomena and soft computing tools in fluid mechanics. The contents of these two volumes (Volumes I and II) discusses various attributes of modern-age mechanics in various disciplines, such as aerospace, civil, mechanical, ocean engineering and naval architecture. The book will be a valuable reference for beginners, researchers, and professionals interested in solid and fluid mechanics and allied fields.

Advanced Aerospace Materials

Author : Haim Abramovich
Publisher : Walter de Gruyter GmbH & Co KG
Page : 318 pages
File Size : 15,75 MB
Release : 2019-08-19
Category : Technology & Engineering
ISBN : 3110537575

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Advanced Aerospace Materials is intended for engineers and students of aerospace, materials, and mechanical engineering. It covers the transition from aluminum to composite materials for aerospace structures and will include essential and advanced analyses used in today’s aerospace industries. Various aspects of design, failure and monitoring of structural components will be derived and presented accompanied by relevant formulas and analyses.

Shape Optimization and Free Boundaries

Author : Michel C. Delfour
Publisher : Springer Science & Business Media
Page : 469 pages
File Size : 39,83 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 9401127107

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Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc. Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc. The objective and orginality of this NATO-ASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems.

Mathematical Methods for Objects Reconstruction

Author : Emiliano Cristiani
Publisher : Springer Nature
Page : 185 pages
File Size : 18,4 MB
Release : 2023-07-31
Category : Mathematics
ISBN : 9819907764

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The volume collects several contributions to the INDAM workshop Mathematical Methods for Objects Reconstruction: from 3D Vision to 3D Printing held in Rome, February, 2021. The goal of the workshop was to discuss new methods and conceptual structures for managing these challenging problems. The chapters reflect this goal and the authors are academic researchers and some experts from industry working in the areas of 3D modeling, computer vision, 3D printing and/or developing new mathematical methods for these problems. The contributions present methodologies and challenges raised by the emergence of large-scale 3D reconstruction applications and low-cost 3D printers. The volume collects complementary knowledges from different areas of mathematics, computer science and engineering on research topics related to 3D printing, which are, so far, widely unexplored. Young researchers and future scientific leaders in the field of 3D data acquisition, 3D scene reconstruction, and 3D printing software development will find an excellent introduction to these problems and to the mathematical techniques necessary to solve them.