Download or read book An Analytic Solution to a Coupled System of Equations for Modeling Photoacoustic Trace Gas Sensors and a Full Waveform Inversion Approach to Microseismic Source Estimation written by Jordan Kaderli and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We discuss two different problems in applied mathematics. The first is related to the modeling of a certain class of trace gas sensors. The second is the geophysical inverse problem of estimating the source of a microseismic event. Quartz-enhanced photoacoustic spectroscopy and resonant optothermoacoustic detection are two promising techniques used in trace gas sensing. Both methods use a quartz tuning fork and modulated laser source to detect trace gases. We discuss a coupled system of equations for the pressure, temperature, and velocity of a fluid that accounts for both thermal effects and viscous damping. We derive an analytical solution to a pressure-temperature subsystem of the Morse-Ingard equations in the special case of cylindrical symmetry. We solve for the pressure and temperature in an infinitely long cylindrical fluid domain with a source function given by a constant-width Gaussian beam that is aligned with the axis of the cylinder. In addition, we surround this cylinder with an infinitely long annular solid domain, and we couple the pressure and temperature in the fluid domain to the temperature in the solid. We show that the temperature in the solid near the fluid-solid interface can be an order of magnitude larger than that computed using a simpler model in which the temperature is governed by the heat equation. We also verify that the temperature solution of the coupled system exhibits a thermal boundary layer. These results suggest that for computational modeling of resonant optothermoacoustic detection sensors, the temperature in the fluid should be computed by solving the Morse-Ingard equations rather than the heat equation. In the second problem, we use full waveform inversion to estimate the full spatial and temporal description of a microseismic source which includes not only the location and origin time of the source but also the waveform itself. Beginning with the simplifying assumption of two-dimensional acoustic wave propagation, we compute the gradient via the adjoint-state method for both the spatial radiation pattern and the temporal waveform of the source. This approach identifies multiple sources, handles extremely low signal-to-noise ratio data, and produces accurate results in the absence of a good initial estimate. Encouraged by the promising results of the two dimensional acoustic case, we apply the approach to the case where wave propagation is modeled via the velocity-stress formulation of the elastic wave equation in three dimensions. A change of variables applied to the velocity-stress formulation ensures that the system is self-adjoint. Thus full waveform inversion can be effectively tailored to use this transformed velocity-stress system to estimate microseismic events with limited modifications to the forward wave solver. The inversion produces either a spatial source description in the form of a volume in which each point in the domain indicates the magnitude of stress perturbation and therefore deformation of the medium or a temporal source description which gives the time evolution of the deformation. The inversion does not require any a priori assumptions about the form of the source and does not require a good starting guess for accurate source recovery.
Download or read book Seismic Data Analysis written by Özdoğan Yilmaz and published by SEG Books. This book was released on 2001 with total page 2065 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expanding the author's original work on processing to include inversion and interpretation, and including developments in all aspects of conventional processing, this two-volume set is a comprehensive and complete coverage of the modern trends in the seismic industry - from time to depth, from 3D to 4D, from 4D to 4C, and from isotropy to anisotropy.
Download or read book Seismic Migration written by A. J. Berkhout and published by . This book was released on 1982 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Seismic Wavefield Volume 1 Introduction and Theoretical Development written by B. L. N. Kennett and published by Cambridge University Press. This book was released on 2001-11-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a guide to understanding of seismograms for graduate students, researchers, professionals in academia and the petroleum industry.
Download or read book Seismic Data Processing written by Özdoğan Yilmaz and published by . This book was released on 1987 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wavefield Inversion written by Armand Wirgin and published by Springer Science & Business Media. This book was released on 2000-04-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date presentation of a broad range of contemporary problems in inverse scattering involving acoustic, elastic and electromagnetic waves. Descriptions will be given of traditional (but still in use and subject to on-going improvements) and more recent methods for identifying either: a) the homogenized material parameters of (spatially) unbounded or bounded heterogeneous media, or b) the detailed composition (spatial distribution of the material parameters) of unbounded or bounded heterogeneous media, or c) the location, shape, orientation and material characteristics of an object embedded in a wellcharacterized homogeneous, homogenized or heterogeneous unbounded or bounded medium, by inversion of reflected, transmitted or scattered spatiotemporal recorded waveforms resulting from the propagation of probe radiation within the medium.
Download or read book Nondestructive Testing of Materials and Structures written by Oral Büyüköztürk and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 1231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Condition assessment and characterization of materials and structures by means of nondestructive testing (NDT) methods is a priority need around the world to meet the challenges associated with the durability, maintenance, rehabilitation, retrofitting, renewal and health monitoring of new and existing infrastructures including historic monuments. Numerous NDT methods that make use of certain components of the electromagnetic and acoustic spectrum are currently in use to this effect with various levels of success and there is an intensive worldwide research effort aimed at improving the existing methods and developing new ones. The knowledge and information compiled in this book captures the current state of the art in NDT methods and their application to civil and other engineering materials and structures. Critical reviews and advanced interdisciplinary discussions by world-renowned researchers point to the capabilities and limitations of the currently used NDT methods and shed light on current and future research directions to overcome the challenges in their development and practical use. In this respect, the contents of this book will equally benefit practicing engineers and researchers who take part in characterization, assessment and health monitoring of materials and structures.
Download or read book Reflection Seismology written by Yang Wencai and published by Elsevier. This book was released on 2013-09-18 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by a geophysicist with more than 50 years of experience in research and instruction, Reflection Seismology: Theory, Data Processing and Interpretation provides a single source of foundational knowledge in reflection seismology principles and theory.Reflection seismology has a broad range of applications and is used primarily by the oil and gas industry to provide high-resolution maps and build a coherent geological story from maps of processed seismic reflections. Combined with seismic attribute analysis and other exploration geophysics tools, it aids geologists and geo-engineers in creating geological models of areas of exploration and extraction interest. Yet as important as reflection seismology is to the hydrocarbon industry, it's difficult to find a single source that synthesizes the topic without having to wade through numerous journal articles from a range of different publishers. This book is a one-stop source of reflection seismology theory, helping scientists navigates through the wealth of new data processing techniques that have emerged in recent years. - Provides geoscientists and geo-engineers with a theoretical framework for navigating the rapid emergence of new data processing techniques - Presents a single source of reflection seismology content instead of a scattering of disparate journal articles - Features more than 100 figures, illustrations, and working examples to aid the reader in retaining key concepts - Arms geophysicists and geo-engineers with a solid foundation in seismic wave equation analysis and interpretation
Download or read book Cure Models written by Yingwei Peng and published by CRC Press. This book was released on 2021-03-22 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cure Models: Methods, Applications and Implementation is the first book in the last 25 years that provides a comprehensive and systematic introduction to the basics of modern cure models, including estimation, inference, and software. This book is useful for statistical researchers and graduate students, and practitioners in other disciplines to have a thorough review of modern cure model methodology and to seek appropriate cure models in applications. The prerequisites of this book include some basic knowledge of statistical modeling, survival models, and R and SAS for data analysis. The book features real-world examples from clinical trials and population-based studies and a detailed introduction to R packages, SAS macros, and WinBUGS programs to fit some cure models. The main topics covered include the foundation of statistical estimation and inference of cure models for independent and right-censored survival data, cure modeling for multivariate, recurrent-event, and competing-risks survival data, and joint modeling with longitudinal data, statistical testing for the existence and difference of cure rates and sufficient follow-up, new developments in Bayesian cure models, applications of cure models in public health research and clinical trials.
Download or read book Dynamical Systems on Networks written by Mason Porter and published by Springer. This book was released on 2016-03-31 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland.
Download or read book Sound Waves in Solids written by Howard F. Pollard and published by . This book was released on 1977 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Seismic Diffraction written by Tijmen Jan Moser and published by SEG Books. This book was released on 2016-06-30 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of diffraction imaging to complement the seismic reflection method is rapidly gaining momentum in the oil and gas industry. As the industry moves toward exploiting smaller and more complex conventional reservoirs and extensive new unconventional resource plays, the application of the seismic diffraction method to image sub-wavelength features such as small-scale faults, fractures and stratigraphic pinchouts is expected to increase dramatically over the next few years. “Seismic Diffraction” covers seismic diffraction theory, modeling, observation, and imaging. Papers and discussion include an overview of seismic diffractions, including classic papers which introduced the potential of diffraction phenomena in seismic processing; papers on the forward modeling of seismic diffractions, with an emphasis on the theoretical principles; papers which describe techniques for diffraction mathematical modeling as well as laboratory experiments for the physical modeling of diffractions; key papers dealing with the observation of seismic diffractions, in near-surface-, reservoir-, as well as crustal studies; and key papers on diffraction imaging.
Download or read book Hilbert huang Transform And Its Applications 2nd Edition written by Norden E Huang and published by World Scientific. This book was released on 2014-04-22 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges.The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD.The book also provides a platform for researchers to develop the HHT method further and to identify more applications.
Download or read book High resolution Fourier Spectroscopy written by Hajime Sakai and published by . This book was released on 1974 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report describes the high-resolution Fourier spectroscopy measurement technique being used at AFCRL. It deals mainly with noise problems of measurement, the noise compensation scheme, and the interferogram signal-detection scheme. The spectral data presented to demonstrate performance of the instrument were obtained with a resolution of 0.0075/cm.
Download or read book Seismic Tomography written by G. Nolet and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ridgelets written by Emmanuel Jean Candes and published by . This book was released on 1998 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Single hidden-layer feedforward neural networks have been proposed as an approach to bypass the curse of dimensionality and are now becoming widely applied to approximation or prediction in applied sciences. In that approach, one approximates a multivariate target function by a sum of ridge functions; this is similar to projection pursuit in the literature of statistics. This approach poses new and challenging questions both at a practical and theorectical level, ranging from the construction of neural networks to their efficiency and capability. The topic of this thesis is to show that ridgelets, a new set of functions, provide an elegant tool to answer some of these fundamental questions ...
Download or read book Transactions American Geophysical Union written by American Geophysical Union and published by . This book was released on 1940 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
