Gradient and smoothness regularization operators for geophysical inversion on unstructured meshes

[1]  Miguel Bosch,et al.  Joint inversion of gravity and magnetic data under lithologic constraints , 2001 .

[2]  N. Williams Geologically-constrained UBC–GIF gravity and magnetic inversions with examples from the Agnew-Wiluna greenstone belt, Western Australia , 2008 .

[3]  Michael B. Giles,et al.  Renumbering unstructured grids to improve the performance of codes on hierarchical memory machines , 1997 .

[4]  Lapo Boschi,et al.  High‐ and low‐resolution images of the Earth's mantle: Implications of different approaches to tomographic modeling , 1999 .

[5]  Lapo Boschi,et al.  Adaptively parametrized surface wave tomography: methodology and a new model of the European upper mantle , 2011 .

[6]  C. Farquharson,et al.  Geologically constrained gravity inversion for the Voisey's Bay ovoid deposit , 2008 .

[7]  D. White,et al.  6th International Meshing Roundtable '97 , 1997 .

[8]  Martin Käser,et al.  Non-conforming hybrid meshes for efficient 2-D wave propagation using the Discontinuous Galerkin Method , 2011 .

[9]  Emanuele Casarotti,et al.  Forward and adjoint simulations of seismic wave propagation on fully unstructured hexahedral meshes , 2011 .

[10]  Christopher C. Pain,et al.  A new computational framework for multi‐scale ocean modelling based on adapting unstructured meshes , 2008 .

[11]  H. Si,et al.  Adaptive tetrahedral mesh generation by constrained Delaunay refinement , 2008 .

[12]  D. Oldenburg,et al.  Fast inversion of large-scale magnetic data using wavelet transforms and a logarithmic barrier method , 2003 .

[13]  Onkar Sahni,et al.  Adjacency-based data reordering algorithm for acceleration of finite element computations , 2010 .

[14]  M. Okabe Analytical expressions for gravity anomalies due to homogeneous polyhedral bodies and translations into magnetic anomalies , 1979 .

[15]  D. Oldenburg,et al.  A comprehensive study of including structural orientation information in geophysical inversions , 2009 .

[16]  Peter G. Lelièvre,et al.  Computing first-arrival seismic traveltimes on unstructured 3-D tetrahedral grids using the Fast Marching Method , 2011 .

[17]  Jonathan Richard Shewchuk,et al.  Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator , 1996, WACG.

[18]  H. Si Constrained Delaunay tetrahedral mesh generation and refinement , 2010 .

[19]  T. Günther,et al.  Three‐dimensional modelling and inversion of dc resistivity data incorporating topography – II. Inversion , 2006 .

[20]  S. Tikhotsky,et al.  Inversion of controlled-source seismic tomography and gravity data with the self-adaptive wavelet parametrization of velocities and interfaces , 2008 .

[21]  E. Haber,et al.  Adaptive finite volume method for distributed non-smooth parameter identification , 2007 .

[22]  M. Sambridge,et al.  Adaptive whole Earth tomography , 2003 .

[23]  H. Bijwaard,et al.  Optimization of Cell Parameterizations for Tomographic Inverse Problems , 2001 .

[24]  D. Hale,et al.  Meshing for velocity modeling and ray tracing in complex velocity fields , 2006 .

[25]  K. Gärtner,et al.  Boundary conforming Delaunay mesh generation , 2010 .

[26]  Peter G. Lelièvre,et al.  Inversion of first-arrival seismic traveltimes without rays, implemented on unstructured grids , 2011 .

[27]  Kristofer Davis,et al.  Fast solution of geophysical inversion using adaptive mesh, space-filling curves and wavelet compression , 2011 .

[28]  C. R. Wilson,et al.  Modelling multiple-material flows on adaptive unstructured meshes. , 2009 .

[29]  W. Gossel,et al.  High-resolution 3D spatial modelling of complex geological structures for an environmental risk assessment of abundant mining and industrial megasites , 2009, Comput. Geosci..

[30]  Deborah Greaves,et al.  Hierarchical tree-based finite element mesh generation , 1999 .

[31]  Knut-Andreas Lie,et al.  Generalized Travel-Time Inversion on Unstructured Grids , 2009 .

[32]  J A Sethian,et al.  A fast marching level set method for monotonically advancing fronts. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[33]  Marcin Dabrowski,et al.  Evolution of large amplitude 3D fold patterns: A FEM study , 2008 .

[34]  Douglas W. Oldenburg,et al.  3-D inversion of magnetic data , 1996 .

[35]  Steven J. Owen,et al.  A Survey of Unstructured Mesh Generation Technology , 1998, IMR.

[36]  J. Sethian,et al.  Fast methods for the Eikonal and related Hamilton- Jacobi equations on unstructured meshes. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[37]  D. Oldenburg,et al.  NON-LINEAR INVERSION USING GENERAL MEASURES OF DATA MISFIT AND MODEL STRUCTURE , 1998 .

[38]  G. Nolet,et al.  Optimal parametrization of tomographic models , 2005 .

[39]  M. Sambridge,et al.  Transdimensional tomography with unknown data noise , 2012 .

[40]  Colin Farquharson,et al.  Constructing piecewise-constant models in multidimensional minimum-structure inversions , 2008 .

[41]  Malcolm Sambridge,et al.  Seismic tomography with irregular meshes , 2013 .

[42]  Guust Nolet,et al.  Seismic earth : array analysis of broadband seismograms , 2005 .

[43]  Douglas W. Oldenburg,et al.  Joint inversion of surface and three‐component borehole magnetic data , 2000 .

[44]  M. Sambridge,et al.  Tomographic systems of equations with irregular cells , 1998 .

[45]  Dinesh Manocha,et al.  Applied Computational Geometry Towards Geometric Engineering , 1996, Lecture Notes in Computer Science.

[46]  T. Günther,et al.  Constraining 3-D electrical resistance tomography with GPR reflection data for improved aquifer characterization , 2012 .

[47]  Jonathan Richard Shewchuk,et al.  Delaunay refinement algorithms for triangular mesh generation , 2002, Comput. Geom..

[48]  H. Si Three Dimensional Boundary Conforming Delaunay Mesh Generation , 2008 .

[49]  Hanan Samet,et al.  The Quadtree and Related Hierarchical Data Structures , 1984, CSUR.

[50]  Leonid Oliker,et al.  Ordering Unstructured Meshes for Sparse Matrix Computations on Leading Parallel Systems , 2000, IPDPS Workshops.

[51]  M. Meju,et al.  Joint two-dimensional DC resistivity and seismic travel time inversion with cross-gradients constraints , 2004 .

[52]  Luis A. Gallardo,et al.  Cross-gradients joint 3D inversion with applications to gravity and magnetic data , 2009 .