{"product_id":"seismic-inversion-theory-and-applications-hardback-9781119257981","title":"Seismic Inversion; Theory and Applications (Hardback) 9781119257981","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSeismic Inversion\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eTheory and Applications\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eYanghua Wang (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781119257981, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 4 November 2016\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e256 pages\u003cbr\u003e24.6 x 16.8 x 1.8 cm, 0.635 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eSeismic inversion aims to reconstruct a quantitative model of the Earth subsurface, by solving an inverse problem based on seismic measurements. There are at least three fundamental issues to be solved simultaneously: non-linearity, non-uniqueness, and instability. This book covers the basic theory and techniques used in seismic inversion, corresponding to these three issues, emphasising the physical interpretation of theoretical concepts and practical solutions.\u003c\/p\u003e \u003cp\u003eThis book is written for master and doctoral students who need to understand the mathematical tools and the engineering aspects of the inverse problem needed to obtain geophysically meaningful solutions. Building on the basic theory of linear inverse problems, the methodologies of seismic inversion are explained in detail, including ray-impedance inversion and waveform tomography etc. The application methodologies are categorised into convolutional and wave-equation based groups. This systematic presentation simplifies the subject and enables an in-depth understanding of seismic inversion.\u003c\/p\u003e \u003cp\u003eThis book also provides a practical guide to reservoir geophysicists who are attempting quantitative reservoir characterisation based on seismic data. Philosophically, the seismic inverse problem allows for a range of possible solutions, but the techniques described herein enable geophysicists to exclude models that cannot satisfy the available data. This book summarises the author’s extensive experience in both industry and academia and includes innovative techniques not previously published.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface viii\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 1 Basics of seismic inversion 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 The linear inverse problem 1\u003c\/p\u003e \u003cp\u003e1.2 Data, model and mapping 3\u003c\/p\u003e \u003cp\u003e1.3 General solutions 4\u003c\/p\u003e \u003cp\u003e1.4 Regularisation 5\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 2 Linear systems for inversion 11\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 A governing equation and its solution 11\u003c\/p\u003e \u003cp\u003e2.2 Seismic scattering 14\u003c\/p\u003e \u003cp\u003e2.3 Seismic imaging 16\u003c\/p\u003e \u003cp\u003e2.4 Seismic downward continuation 18\u003c\/p\u003e \u003cp\u003e2.5 Seismic data processing 20\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 3 Least-squares solutions 23\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Determinant and rank 23\u003c\/p\u003e \u003cp\u003e3.2 The inverse of a square matrix 27\u003c\/p\u003e \u003cp\u003e3.3 LU decomposition and Cholesky factorisation 28\u003c\/p\u003e \u003cp\u003e3.4 Least-squares solutions 34\u003c\/p\u003e \u003cp\u003e3.5 Least-squares solution for a nonlinear system 37\u003c\/p\u003e \u003cp\u003e3.6 Least-squares solution by QR decomposition 37\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 4 Singular value analysis 41\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Eigenvalues and eigenvectors 41\u003c\/p\u003e \u003cp\u003e4.2 Singular value concept 44\u003c\/p\u003e \u003cp\u003e4.3 Generalised inverse solution by SVD 46\u003c\/p\u003e \u003cp\u003e4.4 SVD applications 48\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 5 Gradient-based methods 53\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 The step length 54\u003c\/p\u003e \u003cp\u003e5.2 The steepest descent method 55\u003c\/p\u003e \u003cp\u003e5.3 Conjugate gradient method 59\u003c\/p\u003e \u003cp\u003e5.4 Biconjugate gradient method 61\u003c\/p\u003e \u003cp\u003e5.5 The subspace gradient method 64\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 6 Regularisation 67\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Regularisation versus conditional probability 67\u003c\/p\u003e \u003cp\u003e6.2 The Lp-norm constraint 70\u003c\/p\u003e \u003cp\u003e6.3 The maximum entropy constraint 73\u003c\/p\u003e \u003cp\u003e6.4 The Cauchy constraint 76\u003c\/p\u003e \u003cp\u003e6.5 Comparison of various regularisations 79\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 7 Localised average solutions 83\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 The average solution 84\u003c\/p\u003e \u003cp\u003e7.2 The deltaness 85\u003c\/p\u003e \u003cp\u003e7.3 The spread criterion 86\u003c\/p\u003e \u003cp\u003e7.4 The Backus-Gilbert stable solution 88\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 8 Seismic wavelet estimation 93\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Wavelet extraction from seismic-to-well correlation 94\u003c\/p\u003e \u003cp\u003e8.2 Constant-phase wavelet by kurtosis matching 98\u003c\/p\u003e \u003cp\u003e8.3 Mixed-phase wavelet by cumulant matching 102\u003c\/p\u003e \u003cp\u003e8.4 Generalised seismic wavelets 106\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 9 Seismic reflectivity inversion 111\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 The least-squares problem with a Gaussian constraint 111\u003c\/p\u003e \u003cp\u003e9.2 Reflectivity inversion with an Lp-norm constraint 113\u003c\/p\u003e \u003cp\u003e9.3 Reflectivity inversion with the Cauchy constraint 115\u003c\/p\u003e \u003cp\u003e9.4 Multichannel inversion scheme 118\u003c\/p\u003e \u003cp\u003e9.5 Multichannel conjugate gradient method 121\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 10 Seismic ray-impedance inversion 125\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Acoustic and elastic impedances 125\u003c\/p\u003e \u003cp\u003e10.2 Ray impedance 129\u003c\/p\u003e \u003cp\u003e10.3 Workflow of ray-impedance inversion 132\u003c\/p\u003e \u003cp\u003e10.4 Ray-impedance inversion with a model constraint 136\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 11 Seismic tomography based on ray theory 137\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Seismic tomography 137\u003c\/p\u003e \u003cp\u003e11.2 Velocity-depth ambiguity in tomography 138\u003c\/p\u003e \u003cp\u003e11.3 Ray tracing by a path bending method 141\u003c\/p\u003e \u003cp\u003e11.4 Geometrical spreading of curved interfaces 144\u003c\/p\u003e \u003cp\u003e11.5 Joint inversion of traveltime and amplitude data 147\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 12 Waveform tomography for the velocity model 153\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Inverse theory for seismic waveform tomography 154\u003c\/p\u003e \u003cp\u003e12.2 The optimal step length 157\u003c\/p\u003e \u003cp\u003e12.3 Strategy for reflection seismic tomography 159\u003c\/p\u003e \u003cp\u003e12.4 Multiple attenuation and partial compensation 162\u003c\/p\u003e \u003cp\u003e12.5 Waveform tomography 166\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 13 Waveform tomography with irregular topography 169\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Body-fitted grids for finite-difference modelling 169\u003c\/p\u003e \u003cp\u003e13.2 Modification of boundary points 172\u003c\/p\u003e \u003cp\u003e13.3 Pseudo-orthogonality and smoothness 173\u003c\/p\u003e \u003cp\u003e13.4 Wave equation and absorbing boundary condition 176\u003c\/p\u003e \u003cp\u003e13.5 Waveform tomography with irregular topography 180\u003c\/p\u003e \u003cp\u003e\u003cb\u003eChapter 14 Waveform tomography for seismic impedance 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Wave equation and model parameterisation 185\u003c\/p\u003e \u003cp\u003e14.2 The impedance inversion method 187\u003c\/p\u003e \u003cp\u003e14.3 Inversion strategies and the inversion flow 188\u003c\/p\u003e \u003cp\u003e14.4 Application to field seismic data 193\u003c\/p\u003e \u003cp\u003e14.5 Conclusions 196\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendices 197\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Householder transform for QR decomposition 197\u003c\/p\u003e \u003cp\u003eB Singular value decomposition 200\u003c\/p\u003e \u003cp\u003eC Iterative methods for solving a linear system 206\u003c\/p\u003e \u003cp\u003eD Biconjugate gradient method for complex systems 209\u003c\/p\u003e \u003cp\u003eExercises and solutions 211\u003c\/p\u003e \u003cp\u003eReferences 231\u003c\/p\u003e \u003cp\u003eAuthor index 238\u003c\/p\u003e \u003cp\u003eSubject index 240\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Earth sciences [\u003ca title=\"See our other books on Earth sciences\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Earth%20sciences%20%5BRB%5D%22\"\u003eRB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-Blackwell","offers":[{"title":"Brand New","offer_id":52174379352344,"sku":"9781119257981","price":59.95,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781119257981.jpg?v=1781174057","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/seismic-inversion-theory-and-applications-hardback-9781119257981","provider":"Freshly Printed Books","version":"1.0","type":"link"}