Definition of the Subject
Seismic tomography refers to a number of techniques designed to investigate the interior of the earth using arrival times and/or waveforms from natural and artificial sources. The most common product of a tomographic study is a velocity model, although other parameters, such as attenuation, are also studied. The importance of seismic tomography stems from two facts. One, it generally has higher resolution than that provided by other geophysical methods. Two, it provides information that (a) can help solve fundamental problems concerning the internal structure of the earth at a global scale, and (b) has been used in tectonic and seismic hazards studies at a local scale. Seismic tomography has also been applied to data collected in boreholes, but because of the high expenses associated with drilling, borehole tomography is relatively little used.
Introduction
In the most general terms, seismic tomography problems are inverse problems, and before...
Bibliography
Aki K (1993) Overview. In: Iyer H, Hirahara K (eds) Seismic tomography. Chapman, London, pp 1–8
Aki K, Lee W (1976) Determination of three‐dimensional velocity anomalies under a seismic array using first P arrival times from local earthquakes, 1. A homogeneous initial model. J Geophys Res 81:4381–4399
Aki K, Richards P (1980) Quantitative seismology, vol 2. Freeman, San Francisco
Aki K, Christoffersson A, Husebye E (1977) Determination of the three‐dimensional seismic structure of the lithosphere. J Geophys Res 82:277–296
Allen M, Isaacson E (1998) Numerical analysis for applied science. Wiley, New York
Ambrose J (1973) Computerized transverse axial scanning (tomography): Part 2. Clin Appl Br J Radiol 46:1023–1047
Bai C-Y, Greenhalgh S (2005) 3‑D multi-step travel time tomography: imaging the local, deep velocity structure of Rabaul volcano, Papua New Guinea. Phys Earth Planet Inter 151:259–275
Bai C-Y, Greenhalgh S (2006) 3D local earthquake hypocenter determination with an irregular shortest‐path method. Bull Seism Soc Am 96:2257–2268
Bai C-Y, Greenhalgh S, Zhou B (2007) 3D ray tracing using a modified shortest‐path method. Geophysics 72(4):T27–T36
Bard Y (1974) Nonlinear parameter estimation. Academic Press, New York
Barret H, Hawkins W, Joy M (1983) Historical note on computed tomography. Radiology 147:172
Bates R, Peters T (1971) Towards improvements in tomography. NZ J Sci 14:883–896
Beck J, Arnold K (1977) Parameter estimation in engineering and science. Wiley, New York
Benz H, Smith R (1984) Simultaneous inversion for lateral velocity variations and hypocenters in the Yellowstone region using earthquake and refraction data. J Geophys Res 89:1208–1220
Benz H, Chouet B, Dawson P, Lahr J, Page R, Hole J (1996) Three‐dimensional P and S wave velocity structure of Redoubt Volcano, Alaska. J Geophys Res 101:8111–8128
Boschi L, Ampuero J-P, Peter D, Mai P, Soldati G, Giardini D (2007) Petascale computing and resolution in global seismic tomography. Phys Earth Planet Inter 163:245–250
Bracewell R (1956) Strip integration in radio astronomy. Aust J Phys 9:198–217
Bracewell R, Riddle A (1967) Inversion of fan-beam scans in radio astronomy. J Astrophys 150:427–434
Broad W (1980) Riddle of the Nobel debate. Science 207:37–38
Brooks R, Di Chiro G (1976) Principles of computer assisted tomography (CAT) in radiographic and radioisotopic imaging. Phys Med Biol 5:689–732
Červený V (2001) Seismic ray theory. Cambridge University Press, Cambridge
Červený V, Molotkov I, Pšenčik I (1977) Ray method in seismology. Charles University, Prague
Chapman C (1987) The Radon transform and seismic tomography. In: Nolet G (ed) Seismic tomography. Reidel, Dordrecht, pp 25–47
Chen H, Chiu J-M, Pujol J, Kim K, Chen K-C, Huang B-S, Yeh Y-H, Chiu S-C (2006) A simple algorithm for local earthquake location using 3D V P and V S models: test examples in the central United States and in central eastern Taiwan. Bull Seis Soc Am 96:288–305
Claerbout J (1985) Imaging the Earth's Interior. Blackwell Scientific Publications, Boston
Cormack A (1963) Representation of a function by its line integrals, with some radiological applications. J Appl Phys 34:2722–2727
Cormack A (1964) Representation of a function by its line integrals, with some radiological applications, II. J Appl Phys 35:2908–2913
Cormack A (1973) Reconstruction of densities from their projections, with applications in radiological physics. Phys Med Biol 18:195–207
Cormack A (1980) Recollections of my work with computer assisted tomography. Mol Cell Biochem 32:57–61
Cormack A (1982) Computed tomography: some history and recent developments. Proc Symp Appl Math 27:35–42
Creager K (1984) Geometry, velocity structure, and penetration depths of descending slabs in the western Pacific. Ph D dissertation, University of California, San Diego
Creager K, Boyd T (1992) Effects of earthquake mislocation on estimates of velocity structure. Phys Earth Planet Inter 75:63–76
Crosson R (1976) Crustal structure modeling of earthquake data. 1. Simultaneous least squares estimation of hypocenter and velocity parameters. J Geophys Res 81:3036–3046
Crowther R, DeRosier D, Klug A (1970) The reconstruction of a three‐dimensional structure from projections and its application to electron microscopy. Proc R Soc Lond Ser A 317:319–340
Deans S (1983) The Radon transform and some of its applications. Wiley, New York
DeRosier D, Klug A (1968) Reconstruction of three dimensional structures from electron micrographs. Nature 217:130–134
Dietz L, Ellsworth W (1990) The October 17, 1989 Loma Prieta, California, earthquake and its aftershocks: Geometry of the sequence from high‐resolution locations. Geophys Res Lett 17:1417–1420
Dietz L, Ellsworth W (1997) Aftershocks of the Loma Prieta earthquake and their tectonic implications. In: P Reasenberg (ed) The Loma Prieta, California, earthquake of October 17, 1989 – Aftershocks and postseismic effects. US Geol Surv Prof Pap 1550-D, D5-D47
Dines K, Lytle R (1979) Computerized geophysical tomography. Proc Inst Electr Electron Eng 67:1065–1073
Durrani T, Bisset D (1984) The Radon transform and its properties. Geophysics 49:1180–1187; Errata, 1985, 50:884–886
Dziewonski A (2003) Global seismic tomography: What we really can say and what we make up. Geol Soc Am Penrose Conference, Plume IV: Beyond the Plume Hypothesis, Abstracts (available at: www.mantleplumes.org/Penrose/PenPDFAbstracts/Dziewonski_Adam_abs.pdf)
Eberhart‐Phillips D (1986) Three‐dimensional velocity structure in northern California Coast Ranges from inversion of local earthquake arrival times. Bull Seism Soc Am 76:1025–1052
Eberhart‐Phillips D, Stuart W (1992) Material heterogeneity simplifies the picture: Loma Prieta. Bull Seism Soc Am 82:1964–1968
Eliseevnin V (1965) Analysis of rays propagating in an inhomogeneous medium. Sov Phys Acoust 10:242–245
Evans J, Achauer U (1993) Teleseismic velocity tomography using the ACH method: theory and application to continental‐scale studies. In: Iyer H, Hirahara K (eds) Seismic tomography. Chapman, London, pp 319–360
Forsythe G, Malcolm M, Moler C (1977) Computer methods for mathematical computations. Prentice‐Hall, Englewood Cliffs
Franklin J (1970) Well-posed extensions of ill-posed linear problems. J Math Anal Appl 31:682–716
Gilbert P (1972) Iterative methods for the three‐dimensional reconstruction of an object from projections. J Theor Biol 36:105–117
Gill P, Murray W, Wright M (1981) Practical optimization. Academic Press, London
Gordon R (1974) A tutorial on ART. Inst Electr Electron Eng Trans Nucl Sci NS-21:78–93
Gordon R, Bender R, Herman G (1970) Algebraic reconstruction techniques (ART) for three‐dimensional electron microscopy and X-ray photography. J Theor Biol 29:471–481
Grand S (1987) Tomographic inversion for shear velocity beneath the North American plate. J Geophys Res 92:14065–14090
Groetsch C (1993) Inverse problems in the mathematical sciences. Vieweg, Braunschweig
Gubbins D (1981) Source location in laterally varying media. In: Husebye E, Mykkeltveit S (eds) Identification of seismic sources – Earthquake or underground explosion. Reidel, Dordrecht, pp 543–573
Hansen P (1992) Analysis of discrete ill‐posed problems by means of the L-curve. SIAM Rev 34:561–580
Hansen P (1994) Regularization Tools: A Matlab package for analysis and solution of discrete ill‐posed problems. Num Algorithms 6:1–35; (Software available at: http://www2.imm.dtu.dk/%7Epch/Regutools/)
Hanson K (1987) Bayesian and related methods in image reconstruction from incomplete data. In: Stark H (ed) Image recovery: theory and applications. Academic, Orlando, pp 79–125
Hauksson E (2000) Crustal structure and seismicity distribution adjacent to the Pacific and North America plate boundary in southern California. J Geophys Res 105:13875–13903
Hauksson E, Haase J (1997) Three‐dimensional V P and \( { V_P/V_S } \) velocity models of the Los Angeles basin and central Transverse Ranges, California. J Geophys Res 102:5423–5453
Hauksson E, Jones L, Hutton K (1995) The 1994 Northridge earthquake sequence in California: seismological and tectonic aspects. J Geophys Res 100:12335–12355
Hawley B, Zandt G, Smith R (1981) Simultaneous inversion for hypocenters and lateral velocity variations: an iterative solution with a layered model. J Geophys Res 86:7073–7086
Herman G (1980) Image reconstruction from projections. Academic Press, New York
Herman G, Lent A (1976) Iterative reconstruction algorithms. Comput Biol Med 6:273–294
Herman G, Hurwitz H, Lent A, Lung H-P (1979) On the Bayesian approach to image reconstruction. Inform Contr 42:60–71
Hounsfield G (1973) Computerized transverse axial scanning (tomography): Part 1. Description of system. J Br Radiol 46:1016–1022
Hounsfield G (1979) Computed medical imaging, Nobel Lecture. (available at: nobelprize.org/nobel_prizes/medicine/laureates/1979/hounsfield-lecture.pdf)
Hounsfield G (1980) Autobiography. In: Wilhelm O (ed) The Nobel Prizes 1979. The Nobel Foundation, Stockholm (available at: nobelprize.org/nobel_prizes/medicine/laureates/1979/hounsfield-autobio.html)
Hudnut K et al (1996) Co‐seismic displacements of the 1994 Northridge, California, earthquake. Bull Seism Soc Am 86(1B):S19–S36
Hudson J (1980) The excitation and propagation of elastic waves. Cambridge University Press, Cambridge
Humphreys E, Clayton R (1988) Adaptation of back projection tomography to seismic travel times problems. J Geophys Res 93:1073–1085
Hurwitz H (1975) Entropy reduction in Bayesian analysis of measurements. Phys Rev A 12:698–706
Inoue H, Fukao Y, Tanabe K, Ogata Y (1990) Whole mantle P‑wave travel time tomography. Phys Earth Planet Inter 59:294–328
Ivansson S (1983) Remark on an earlier proposed iterative tomographic algorithm. J Geophys R Astr Soc 75:855–860
Jackson D (1979) The use of a priori data to resolve non‐uniqueness in linear inversion. J Geophys R Astr Soc 57:137–157
Julian B, Gubbins D (1977) Three‐dimensional seismic ray tracing. J Geophys 43:95–113
Kak A, Slaney M (1988) Principles of computerized tomographic imaging. Inst Electr Electron Eng Press, New York
Kim K-H (2003) Subsurface structure, seismicity patterns, and their implication to tectonic evolution in Taiwan. Ph D dissertation, University of Memphis, Memphis
Kim K-H, Chiu J-M, Pujol J, Chen K-C, Huang B-S, Yeh Y-H, Shen P (2005) Three‐dimensional V P and V S structural models associated with the active subduction and collision tectonics in the Taiwan region. J Geophys Int 162:204–220
Koch M (1985) Non‐linear inversion of local seismic travel times for the simultaneous determination of 3D‐velocity structure and hypocenters – application to the seismic zone Vrancea. J Geophys 56:160–173
Koch M (1993) Simultaneous inversion for 3‑D crustal structure and hypocenters including direct, refracted and reflected phases – I Development, validation and optimal regularization of the method. J Geophys Int 112:385–412
Komatitsch D, Tsuboi S, Tromp J (2005) The spectral‐element method in seismology. In: Levander A, Nolet G (eds) Seismic earth: array analysis of broadband seismograms. Geophysical Monograph Series, vol 157. Am Geophys Union, Washington DC, pp 205–227
Langenheim V, Griscom A, Jachens R, Hildenbrand T (2000) Preliminary potential‐field constraints on the geometry of the San Fernando basin, southern California. US Geol Survey Open-File Report 00–219
Lawson C, Hanson R (1974) Solving least squares problems. Prentice‐Hall, Englewood Cliffs
Lee W, Pereyra V (1993) Mathematical introduction to seismic tomography. In: Iyer H, Hirahara K (eds) Seismic tomography. Chapman, London, pp 9–22
Lee W, Stewart S (1981) Principles and applications of microearthquake networks. Academic Press, New York
Lees J, Crosson R (1989) Tomographic inversion for three‐dimensional velocity structure at Mount St. Helens using earthquake data. J Geophys Res 94:5716–5728
Levenberg K (1944) A method for the solution of certain non‐linear problems in least squares. Quart Appl Math 2:164–168
Lewitt R (1983) Reconstruction algorithms: transform methods. Proc Inst Electr Electron Eng 71:390–408
Liang W-T, Chiu J-M, Kim K (2007) Anomalous Pn waves observed in eastern Taiwan: implications of a thin crust and elevated oceanic upper mantle beneath the active collision‐zone suture. Bull Seism Soc Am 97:1370–1377
Ma K-F, Wang J-H, Zhao D (1996) Three‐dimensional seismic velocity structure of the crust and uppermost mantle beneath Taiwan. J Phys Earth 44:85–105
Magistrale H, Day S, Clayton R, Graves R (2000) The SCEC southern California reference three‐dimensional seismic velocity model version 2. Bull Seism Soc Am 90(6B):S65–S76
Marquardt D (1963) An algorithm for least‐squares estimation of nonlinear parameters. J Soc Ind Appl Math 11:431–441
Martin M, Ritter J, CALIXTO Working Group (2005) High‐resolution teleseismic body‐wave tomography beneath SE Romania – I. Implications for three‐dimensional versus one‐dimensional crustal correction strategies with a new crustal velocity model. J Geophys Int 162:448–460
Meskò A (1984) Digital filtering: applications in geophysical exploration for oil. Wiley, New York
Monna S, Filippi L, Beranzoli L, Favali P (2003) Rock properties of the upper-crust in Central Apennines (Italy) derived from high‐resolution 3‑D tomography. Geophys Res Lett 30(61):1–4 doi:10.1029/2002GL016780
Morelli A (1993) Teleseismic tomography: core‐mantle boundary. In: Iyer H, Hirahara K (eds) Seismic tomography. Chapman, London, pp 163–189
Mori J, Wald D, Wesson R (1995) Overlapping fault planes of the (1971) San Fernando and 1994 Northridge, California earthquakes. Geophys Res Lett 22:1033–1036
Moser T (1991) Shortest path calculation of seismic rays. Geophysics 56:59–67
Moser T, Nolet G, Snieder R (1992) Ray bending revisited. Bull Seismol Soc Am 82:259–288
Moser T, Van Eck T, Nolet G (1992) Hypocenter determination in strongly heterogeneous earth models using the shortest path method. J Geophys Res 97:6563–6572
Nakanishi I, Yamaguchi K (1986) A numerical experiment on nonlinear image reconstruction from first‐arrival times for two‐dimensional island arc structure. J Phys Earth 34:195–201
Nelson G, Vidale J (1990) Earthquake locations by 3‑D finite‐difference travel times. Bull Seism Soc Am 80:395–410
Noble B, Daniel J (1977) Applied linear algebra. Prentice‐Hall, Englewood Cliffs
Nolet G (1993) Solving large linearized tomographic problems. In: Iyer H, Hirahara K (eds) Seismic tomography. Chapman, London, pp 227–247
Okubo P, Benz H, Chouet B (1997) Imaging the crustal magma sources beneath Mauna Loa and Kilauea Volcanoes, Hawaii. Geology 25:867–870
Oldendorf W (1961) Isolated flying spot detection of radio density discontinuities – Displaying the internal structural pattern of a complex object. IRE Trans Biomed Elec BME-8:68–72
Oransky I (2004) Obituary. Sir Godfrey N Hounsfield. Lancet 364:1032
Paige C, Saunders M (1982) LSQR: An algorithm for sparse linear equations and sparse least square problems. ACM Trans Math Softw 8:43–71
Parker R (1994) Geophysical inverse theory. Princeton University Press, Princeton
Pavlis G, Booker J (1980) The mixed discrete‐continuous inverse problem: application to the simultaneous determination of earthquake hypocenters and velocity structure. J Geophys Res 85:4801–4810
Penrose R (1955) A generalized inverse for matrices. Proc Camb Phil Soc 51:406–413
Pereyra V, Lee W, Keller H (1980) Solving two-point seismic‐ray tracing problems in a heterogeneous medium. Bull Seism Soc Am 70:79–99
Podvin P, Lecomte I (1991) Finite difference computation of traveltimes in very contrasted velocity models: a massively parallel approach and its associated tools. J Geophys Int 105:271–284
Press W, Teukolsky S, Vetterling W, Flannery B (1992) Numerical Recipes. Cambridge University Press, Cambridge
Prothero W, Taylor W, Eickemeyer J (1988) A fast, two-point, three‐dimensional raytracing algorithm using a simple step search method. Bull Seism Soc Am 78:1190–1198
Pujol J (1995) Application of the JHD technique to the Loma Prieta, California, mainshock‐aftershock sequence and implications for earthquake location. Bull Seism Soc Am 85:129–150
Pujol J (1996) Comment on: “The 1989 Loma Prieta earthquake imaged from inversion of geodetic data” by Thora Árnadóttir and Paul Segall. J Geophys Res 101:20133–20136
Pujol J (1996) An integrated 3D velocity inversion – joint hypocentral determination relocation analysis of events in the Northridge area. Bull Seism Soc Am 86(1B):S138–S155
Pujol J (2000) Joint event location – The JHD technique and applications to data from local seismic networks. In: Thurber C, Rabinowitz N (eds) Advances in seismic event location. Kluwer, Dordrecht, pp 163–204
Pujol J (2003) Elastic wave propagation and generation in seismology. Cambridge University Press, Cambridge
Pujol J (2007) The solution of nonlinear inverse problems and the Levenberg‐Marquardt method. Geophysics 72(4):W1–W16
Pujol J et al (1989) 3‑D P- and S‑wave velocity structure of the Andean foreland in San Juan, Argentina, from local earthquakes. Eos Trans Am Geoph Union 70(43):1213
Pujol J, Mueller K, Peng S, Chitupolu V (2006) High‐resolution 3D P‑wave velocity model for the East Ventura–San Fernando basin, California, and relocation of events in the Northridge and San Fernando aftershock sequences. Bull Seism Soc Am 96:2269–2280
Ramachandran G, Lakshminarayanan A (1971) Three‐dimensional reconstruction from radiographs and electron micrographs: application of convolutions instead of Fourier transforms. Proc Natl Acad Sci USA 68:2236–2240
Ratchkovsky N, Pujol J, Biswas N (1997) Relocation of earthquakes in the Cook Inlet area, south central Alaska, using the joint hypocenter determination method. Bull Seism Soc Am 87:620–636
Rau R-J, Wu F (1995) Tomographic imaging of lithospheric structures under Taiwan. Earth Planet Lett 133:517–532
Robinson E (1982) Spectral approach to geophysical inversion by Lorentz, Fourier, and Radon transforms. Proc Inst Electr Electron Eng 70:1039–1054
Roecker S, Yeh Y, Tsai Y (1987) Three‐dimensional P and S wave velocity structures beneath Taiwan: deep structure beneath an arc‐continent collision. J Geophys Res 92:10547–10570
Romanowicz B (2003) Global mantle tomography: Progress status in the past 10 years. Annu Rev Earth Planet Sci 31:303–328
Sage A, Melsa J (1971) Estimation theory with applications to communications and control. McGraw‐Hill, New York
Sandoval S, Kissling E, Ansorge J, Svekalapko Seismic Tomography Working Group (2003) High‐resolution body wave tomography beneath the Svekalapko array: I, A priori three‐dimensional crustal model and associated traveltime effects on teleseismic wave fronts. J Geophys Int 153:75–87
Shepp L, Kruskal J (1978) Computerized tomography: the new medical X-ray technology. Am Math Mon 85:420–439
Shepp L, Logan B (1974) The Fourier reconstruction of a head section. Inst Electr Electron Eng Trans Nucl Sci NS-21:21–43
Snoke J, Lahr J (2001) Locating earthquakes: at what distances can the Earth no longer be treated as flat? Seism Res Lett 72:538–541
Soldati G, Boschi L, Piersanti A (2006) Global seismic tomography and modern parallel computers. Ann Geophys 49:977–986
Sorenson H (1980) Parameter estimation: principles and problems. Dekker, New York
Spakman W (1993) Iterative strategies for non‐linear travel time tomography using global earthquake data. In: Iyer H, Hirahara K (eds) Seismic tomography. Chapman, London, pp 190–226
Stanton L (1969) Basic medical radiation physics. Appleton‐Century‐Crofts, New York
Stewart J, Choi Y, Graves R, Shaw J (2005) Uncertainty of southern California basin depth parameters. Bull Seism Soc Am 95:1988–1993
Süss M, Shaw J (2003) P wave seismic velocity structure derived from sonic logs and industry reflection data in the Los Angeles basin, California. J Geophys Res 108(13):1–18 doi:10.1029/2001JB001628
Tarantola A, Valette B (1982) Inverse problems = quest for information. J Geophys 50:159–170
Tarantola A, Valette B (1982) Generalized nonlinear inverse problems solved using the least squares criterion. Rev Geophys Space Phys 20:219–232
Teng T-L, Aki K (1996) Preface to the 1994 Northridge earthquake special issue. Bull Seism Soc Am 86(1B):S1–S2
Thurber C (1983) Earthquake locations and three‐dimensional crustal structure in the Coyote Lake area, central California. J Geophys Res 88:8226–8236
Thurber C (1992) Hypocenter‐velocity structure coupling in local earthquake tomography. Phys Earth Planet Inter 75:55–62
Thurber C (1993) Local earthquake tomography: velocities and \( { V_{\mathrm{P}}/V_{\mathrm{S}} } \) – theory. In: Iyer H, Hirahara K (eds) Seismic tomography. Chapman, London, pp 563–583
Thurber C, Kissling E (2000) Advances in travel‐time calculations for three‐dimensional structures. In: Thurber C, Rabinowitz N (eds) Advances in seismic event location. Kluwer, Dordrecht, pp 71–99
Tihonov A (1963) Solution of incorrectly formulated problems and the regularization method. Sov Math 4:1035–1038; (Note: a more common transliteration of this author's Russian name is Tikhonov.)
Titchmarsh W (1948) Introduction to the theory of Fourier integrals. Oxford University Press, Oxford
Trampert J, Van der Hilst R (2005) Towards a quantitative interpretation of global seismic tomography. In: Van der Hilst R, Bass J, Matas J, Trampert J (eds) Earth's deep mantle: structure, composition, and evolution. Geophysical Monograph Series, vol 160. Am Geophys Union, Washington DC, pp 47–62
Tryggvason A, Bergman B (2006) A traveltime reciprocity discrepancy in the Podvin & Lecomte time3d finite difference algorithm. J Geophys Int 165:432–435
Um J, Thurber C (1987) A fast algorithm for two-point seismic ray tracing. Bull Seism Soc Am 77:972–986
Van der Hilst R, Engdahl E (1992) Step-wise relocation of ISC earthquake hypocenters for linearized tomographic imaging of slab structure. Phys Earth Planet Inter 75:39–53
Van der Sluis A, Van der Vorst H (1987) Numerical solution of large, sparse linear algebraic systems arising from tomographic problems. In: Nolet G (ed) Seismic tomography. D Reidel, Dordrecht, pp 49–83
Van Tiggelen R (2002) In search for the third dimension: from radiostereoscopy to three‐dimensional imaging. JBR-BTR 85:266–270
Van Tiggelen R, Pouders E (2003) Ultrasound and computed tomography: spin-offs of the World Wars. JBR-BTR 86:235–241
Vidale J (1988) Finite‐difference calculation of travel times. Bull Seism Soc Am 78:2062–2076
Vidale J (1990) Finite‐difference calculation of travel times in three dimensions. Geophysics 55:521–526
Villaseñor A, Benz H, Filippi L, De Luca G, Scarpa R, Patanè G, Vinciguerra S (1998) Three‐dimensional P‑wave velocity structure of Mt. Etna, Italy. Geophys Res Lett 25:1975–1978
Wald D, Graves R (1998) The seismic response of the Los Angeles basin, California. Bull Seism Soc Am 88:337–356
Woodhouse J, Dziewonski A (1989) Seismic modelling of the Earth's large-scale three‐dimensional structure. Phil Trans Roy Soc Lond A 328:291–308
Zhao D, Kanamori H (1995) The 1994 Northridge earthquake: 3‑D crustal structure in the rupture zone and its relation to the aftershock locations and mechanisms. Geophys Res Lett 22:763–766
Zhao D, Hasegawa A, Horiuchi S (1992) Tomographic imaging of P and S wave velocity structure beneath northeastern Japan. J Geophys Res 97:19909–19928
Zhdanov M (2002) Geophysical inverse theory and regularization problems. Elsevier, Amsterdam
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Pujol, J. (2009). Tomography, Seismic. In: Meyers, R. (eds) Encyclopedia of Complexity and Systems Science. Springer, New York, NY. https://doi.org/10.1007/978-0-387-30440-3_553
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