Abstract
The main breakthrough in seismology during the last ten years is related to the emergence and development of more and more sophisticated 3-dimensional imaging techniques, usually named seismic tomography, from the local scale up to global scale of the Earth. The progress has been made possible by the rapid developments in seismic instrumentation, in electronics, and by the extensive use of massive computational facilities. However, in contrast to usual experiments in physics, geophysicists cannot control all the conditions and must use natural sources. Consequently, most global tomographic models suffer severe limitations due to imperfect data coverage and theoretical approximations. It is usually assumed that the propagating elastic medium is isotropic, which is shown to be a poor approximation. We show in this paper how to take account of the anisotropy of the Earth’s materials. The consequence is that, by including other geological constraints, we are able to map not only the 3-dimensional temperature heterogeneities but also the flow field within the convecting mantle. The complete tomographic technique, which includes the resolution of a forward problem and of an inverse problem, is described. It is important to emphasize the fact that in order to check the reliability of a tomographic model it is necessary to calculate the errors and the resolution associated with the model by considering the structure of the data space (errors and correlations) and the parameter space (a posteriori errors, covariance function, resolution). However, despite the increasing quality of seismograms provided by modern digital networks (GEOSCOPE, IRIS, etc.), the lateral resolution at the global scale is limited to about 1000 km and the installation of ocean-bottom observatories constitutes a new challenge for the next century. The next step is to apply to data recent theoretical developments in order to use all the information provided by seismic waveforms. Then, we will receive new insight into anisotropic and anelastic parameters within the Earth, and also within other solid materials.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. Knopoff, Observation and inversion of surface wave inversion, Tectono-physics 13, 497–519 (1972)
J. H. Woodhouse, A. M. Dziewonski, Mapping the upper mantle: Three dimensional modelling of Earth structure by inversion of seismic waveforms, J. Geophys. Res. 89, 5953–5986 (1984)
A. M. Dziewonski, Mapping the lower mantle: Determination of lateral heterogeneity in P velocity up to degree and order 6, J. Geophys. Res. 89, 5929–5952 (1984)
I. Nakanishi, D. L. Anderson, Measurement of mantle wave velocities and inversion for lateral heterogeneity and anisotropy, II. Analysis by the single station method, Geophys. J. R. Astron. Soc. 78, 573–618 (1984)
H.-C. Nataf, I. Nakanishi, D. L. Anderson, Anisotropy and shear velocity heterogeneities in the upper mantle, Geophys. Res. Lett. 11, 109–112 (1984)
H.-C. Nataf, I. Nakanishi, D. L. Anderson, Measurement of mantle wave velocities and inversion for lateral heterogeneity and anisotropy, III. Inversion, J. Geophys. Res. 91, 7261–7307 (1986)
D. Agnew, J. Berger, R. Buland, W. Farrell, F. Gilbert, International deployment of accelerometers: A network of very long period seismology, EOS, Trans. Am. Geophys. Union 57, 180–188 (1976)
J. Peterson, H. M. Butler, L. G. Holcomb, C. R. Hutt, The Seismic Research Observatory, Bull. Seism. Soc. Am. 66, 2049–2068 (1977)
B. Romanowicz, M. Cara, J. F. Fels, D. Rouland, GEOSCOPE: a French initiative in long period, three component, global seismic networks, EOS, Trans. Am. Geophys. Union 65, 753–754 (1984)
S. W. Smith, IRIS, a program for the next decade, EOS, Trans. Am. Geophys. Union 67, 213–219 (1986)
J.-P. Montagner, Surface waves on a global scale — Influence of anisotropy and anelasticity, In Seismic Modeling of the Earth’s Structure, ed. by E. Boschi, G. Ekström, A. Morelli, Summer School of Erice, (Bologna 1996) p. 81–148
J.-P. Montagner, First results on the three dimensional structure of the Indian Ocean inferred from long period surface waves, Geophys. Res. Lett. 13, 315–318, (1986)
J.-P. Montagner, T. Tanimoto, Global anisotropy in the upper mantle inferred from the regionalization of phase velocities, J. Geophys. Res. 95, 4797–4819 (1990)
J.-P. Montagner, T. Tanimoto, Global upper mantle tomography of seismic velocities and anisotropies, J. Geophys. Res. 96, 20 337–20 351 (1991)
T. Tanimoto, Waveform inversion of Love waves: The Born Seismogram approach, Geophys. J. R. Astron. 78, 641–660 (1984)
G. Roult, B. Romanowicz, J.-P. Montagner, 3D upper mantle shear velocity and attenuation from fundamental mode free oscillation data, Geophys. J. Int. 101, 61–80 (1990)
B. Romanowicz, The upper mantle degree two: Constraints and inferences from global mantle wave attenuation measurements, J. Geophys. Res. 95, 11051–11071 (1990)
T. Tanimoto, Waveform inversion of mantle Love waves: The Born seismogram approach, Geophys. J. R. Astron. Soc. 78, 641–660 (1984)
J. K. Wong, Upper mantle heterogeneity from phase and amplitude data of mantle waves, PhD Thesis, Harvard University, Cambridge MA (1989)
R. Snieder, Large-scale waveform inversions of surface waves for lateral heterogeneity, 1. Theory and numerical examples, J. Geophys. Res. 93, 12055–12066 (1988)
R. Snieder, Large-scale waveform inversions of surface waves for lateral heterogeneity, 2. Application to surface waves in Europe and the Mediterranean, J. Geophys. Res. 93, 12 067–12 080 (1988)
E. Wielandt, G. Streickeisen, The leaf-spring seismometer: design and performances, Bull. Seism. Soc. Am. 72, 2349–2367 (1982)
S. Cacho, Etude et Réalisation d’un sismomètre très large bande, 3 axes, qualifié spatial, Thèse de l’Université Paris VII (1996)
P. Lognonné, J. Gagnepain-Beyneix, W. B. Banerdt, S. Cacho, J.-F. Karczewski, An ultra-broadband seismometer in InterMarsnet, Planet. Space Sci. 44, 1237–1249 (1996)
J.-P. Montagner, P. Lognonné, R. Beauduin, G. Roult, J.-F. Karczewski, E. Stutzmann, Towards multiscale and multiparameter networks for the next century: The French efforts, Phys. Earth Planet. Int. 108, 155–174 (1998)
J. Peterson, Observation and modeling of background seismic noise, I. S. Geol. Surv. Open-file report 93-222, Albuquerque (1993)
J.-P. Montagner, B. Romanowicz, J. F. Karczewski, A first step towards an Oceanic Geophysical observatory, EOS, Trans. Am. Geophys. Union 75, 150–154 (1994)
K. Suyehiro, T. Kanazawa, N. Hirata, M. Shinohara, H. Kinoshita, Broadband downhole digital seismometer experiment at site 794: a technical paper, Proc. ODP, Sc. Results, (1992) p. 127–128
J. H. Woodhouse, F. A. Dahlen, The effect of a general aspherical perturbation on the free oscillations of the Earth, Geophys. J. R. Astron. Soc. 53, 335–354 (1978)
A. R. Edmonds, Angular Momentum and Quantum Mechanics (Priceton University Press, Priceton NJ, 1960)
J.-P. Montagner, Where can seismic anisotropy be detected in the Earth’s mantle? In boundary layers..., Pure Appl. Geophys. 151, 223–256 (1998)
L. Peselnick, A. Nicolas, P. R. Stevenson, Velocity anisotropy in a mantle peridotite from Ivrea zone: Application to upper mantle anisotropy, J. Geophys. Res. 79, 1175–1182 (1974)
D. L. Anderson, Theory of the Earth (Blackwell, Oxford 1989)
V. Babuska, M. Cara, Seismic Anisotropy in the Earth (Kluwer Academic, Dordrecht 1991)
A. E. Ringwood, Composition and petrology of the Earth’s mantle (McGraw-Hill, New York 1975) pp. 618
N. I. Christensen, S. Lundquist, Pyroxene orientation within the upper mantle, Bull. Geol. Soc. Am. 93, 279–288 (1982)
J.-P. Montagner, D. L. Anderson, Constraints on elastic combinations inferred from petrological models, Phys. Earth Planet. Int. 54, 82–105 (1989)
D. L. Anderson, J. D. Bass, Mineralogy and composition of the upper mantle, Geophys. Res. Lett. 11, 637–640 (1984)
D. L. Anderson, J. D. Bass, Transition region of the Earth’s upper mantle, Nature 320, 321–328 (1986)
L. Peselnick, A. Nicolas, Seismic anisotropy in an ophiolite peridotite. Application to oceanic upper mantle, J. Geophys. Res. 83, 1227–1235 (1978)
A. Nicolas, Why fast polarization directions of SKS seismic waves are parallel to mountain belts? Phys. Earth Planet. Int. 78, 337–342 (1993)
A. Vauchez, A. Nicolas, Mountain building: strike-parallel motion and mantle anisotropy, Tectonophysics 185, 183–191 (1991)
N. M. Ribe, Seismic anisotropy and mantle flow, J. Geophys. Res. 94, 4213–4223 (1989)
D. L. Anderson, Elastic wave propagation in layered anisotropic media, J. Geophys. Res. 66, 2953–2963 (1961)
K. Aki, K. Kaminuma, Phase velocity of Love waves in Japan (part 1): Love waves from the Aleutian shock of March 1957, Bull. Earthq. Res. Inst. 41, 243–259 (1963)
H. Hess, Seismic anisotropy of the uppermost mantle under the oceans, Nature 203, 629–631 (1964)
L. P. Vinnik, G. L. Kosarev, L. I. Makeyeva, Anisotropiya litosfery po nablyu-deniyam voln SKS and SKKS, Dokl. Akad. Nauk USSR 278, 1335–1339 (1984)
L. P. Vinnik, R. Kind, G. L. Kosarev, L. I. Makeyeva, Azimuthal Anisotropy in the lithosphere from observations of long-period S-waves, Geophys. J. Int. 99, 549–559 (1989)
L. P. Vinnik, V. Farra, B. Romanowicz, Azimuthal anisotropy in the earth from observations of SKS at GEOSCOPE and NARS broadband stations, Bull. Seism. Soc. Am. 79, 1542–1558 (1989)
L. Vinnik, L. I. Makayeva, A. Milev, A. Y. Usenko, Global patterns of azimuthal anisotropy and deformations in the continental mantle, Geophys. J. Int. 111, 433–447 (1992)
M. Ando, ScS polarization anisotropy around the Pacific Ocean, J. Phys. Earth 32, 179–196 (1984)
J. Fukao, Evidencec from Core-reflected Shear waves for Anisotropy in the Earth’s mantle, Nature 309, 695–698 (1984)
M. Ando, Y. Ishikawa, F. Yamazaki, Shear wave polarization anisotropy in the upper mantle beneath Honshu, Japan, J. Geophys. Res. 88, 5850–5864 (1983)
J. R. Bowman, M. Ando, Shear-wave splitting in the upper mantle wedge above the Tonga subduction zone, Geophys. J. R. Astron. Soc. 88, 25–41 (1987)
P. G. Silver, W. W. Chan, Implications for continental structure and evolution from seismic anisotropy, Nature 335, 34–39 (1988)
V. Ansel, H.C Nataf, Anisotropy beneath 9 stations of the Geoscope broadband network as deduced from shear wave splitting, Geophys. Res. Lett. 16, 409–412 (1989)
P. G. Silver, Seismic anisotropy beneath the continents: Probing the depths of geology, Annu. Rev. Earth Planet. Sci. 24, 385–432 (1996)
A. Levshin, L. Ratnikova, Apparent anisotropy in inhomogeneous media, Geophys. J. R. Astron. Soc. 76, 65–69 (1984)
D. W. Forsyth, The early structural evolution and anisotropy of the oceanic upper mantle, Geophys. J. R. Astron. Soc. 43, 103–162 (1975)
B. J. Mitchell, G.-K. Yu, Surface wave dispersion, regionalized velocity models and anisotropy of the Pacific crust and upper mantle, Geophys. J. R. Astron. Soc. 63, 497–514 (1980)
J.-P. Montagner, Seismic anisotropy of the Pacific Ocean inferred from long-period surface wave dispersion, Phys. Earth Planet. Int. 38, 28–50 (1985)
T. Tanimoto, D. L. Anderson, Lateral heterogeneity and azimuthal anisotropy of the upper mantle: Love and Rayleigh waves 100–250 s, J. Geophys. Res. 90, 1842–1858 (1985)
E. Debayle, J.-J. Lévêque, Upper mantle heterogeneities in the Indian Ocean froml waveform inversion, Geophys. Res. Lett. 24, 245–248 (1997)
D. Suetsugu, I. Nakanishi, Regional and azimuthal dependence of phase velocities of mantle Rayleigh waves in the Pacific Ocean, Phys. Earth Planet. Int. 47, 230–245 (1987)
C. E. Nishimura, D. W. Forsyth, The anisotropic structure of the upper mantle in the Pacific, Geophys. J. 96, 203–229 (1989)
G. Silveira, E. Stutzmann, J.-P. Montagner and L. Mendes-Victor, Anisotropic tomography of the Atlantic Ocean from Rayleigh surface waves, Phys. Earth Planet. Int. 106, 259–275 (1998)
O. Hadiouche, N. Jobert and J. P. Montagner, Anisotropy of the African continent inferred from surface waves, Phys. Earth Planet. Int. 58, 61–81 (1989)
D.-A. Griot, J.-P. Montagner, P. Tapponnier, Surface wave phase velocity and azimuthal anisotropy in Central Asia, J. Geophys. Res. 103, 21215–21232 (1998)
D.-A. Griot, J.-P. Montagner, P. Tapponnier, Heterogeneous versus homogeneous strain in Central Asia, Geophys. Res. Lett. 25, 1447–1450 (1998)
J. J. Lévêque, M. Cara, Inversion of multimode surface wave data: evidence for sub-lithospheric anisotropy, Geophys. J. R. Astron. Soc. 83, 753–773 (1985)
M. Cara, J.-J. Lévêque, Anisotropy of the asthenosphere: The higher mode data of the Pacific revisited, Geophys. Res. Lett. 15, 205–208 (1988)
J.-P. Montagner, H.-C. Nataf, On the inversion of the azimuthal anisotropy of surface waves, J. Geophys. Res. 91, 511–520 (1986)
S. Crampin, An introduction to wave propagation in anisotropic media, Geophys. J. R. Astron. Soc. 76, 17–28 (1984)
J.-P. Montagner, N. Jobert, Investigation of upper mantle structure under young regions of the Sout-East Pacific using long-period Rayleigh waves, Phys. Earth Planet. Int. 27, 206–222 (1981)
M. L. Smith, F. A. Dahlen, Correction to ‘The azimuthal dependence of Love and Rayleigh wave propagation in a slightly anisotropic medium’, J. Geophys. Res. 80, 1923 (1975)
G. Laske, G. Masters, Surface-wave polarization data and global anisotropic structure, Geophys. J. Int. 132, 508–520 (1998)
E. W. Larson, J. Tromp, G. Ekström, Effects of slight anisotropy on surface waves, Geophys. J. Int. 132, 654–666 (1998)
J.-P. Montagner, D.-A. Griot, J. Lavé, How to relate body wave and surface wave anisotropies?, J. Geophys. Res. 105, 19 015–19 027 (2000)
J.-P. Montagner, Surface waves on a global scale — Influence of anisotropy and anelasticity, In Seismic Modeling of the Earth’s Structure, ed. by E. Boschi, G. Ekström, A. Morelli, Summer School of Erice, (Bologna 1996) p. 81–148
J. Bass, D. L. Anderson, Composition of the upper mantle: Geophysical tests of two petrological models, Geophys. Res. Lett. 11, 237–240 (1984)
J.-P. Montagner, D. L. Anderson, Constrained reference mantle model, Phys. Earth Planet. Int. 58, 205–227 (1989)
J. W. Schlue, L. Knopoff, Shearwave Polarization in the Pacific Ocean, Geophys. J. R. Astron. Soc. 49, 145–165, (1977)
A. M. Dziewonski, D. L. Anderson, Preliminary Reference Earth Model, Phys. Earth Planet. Int. 25, 297–356 (1981)
D. L. Anderson, A. M. Dziewonski, Upper mantle anisotropy: Evidence from fre oscillations, Geophys. J. R. Astron. Soc. 69, 383–404 (1982)
G. Nolet, Higher Rayleigh modes in Western Europe, Geophys. Res. Lett. 2, 60–62 (1975)
M. Cara, Regional variations of Rayleigh-mode velocities: a spatial filtering method, Geophys. J. R. Astron. Soc. 57, 649–670 (1978)
E. Okal, B.-G. Jo, stacking investigation of higher-order mantle Rayleigh waves, Geophys. Res. Lett. 12, 421–424 (1985)
A. L. Lerner-Lam, T. H. Jordan, Earth structure from fundamental and higher-mode waveform analysis, Geophys. J. R. Astron. Soc. 75, 759–797 (1983)
G. Nolet, Partitioned waveform inversion and two-dimensional structure under the network of autonomously recording seismographs, J. Geophys. Res. 95, 8499–8512 (1990)
J. J. Lévêque, M. Cara, D. Rouland, Waveform inversion of surface-wave data: a new tool for systematic investigation of upper mantle structures, Geophys. J. Int. 104, 565–581 (1991)
E. Stutzmann, J. P. Montagner, Tomography of the transition zone from the inversion of higher-mode surface waves, Phys. Earth Planet. Int. 86, 99–116 (1994)
H. J. Van Heijst, J. Woodhouse, Measuring surface-wave overtone phase velocities using a mode-branch stripping technique, Geophys. J. Int. 131, 209–230 (1997)
R. Snieder, Surface wave inversions on a regional scale, In Seismic Modeling of Earth Structure, ed. by E. Boschi, G. Ekström, A. Morelli, Summer School of Erice, (Bologna 1996) p. 149–182
G. E. Backus, F. Gilbert, Numerical applications of a formalism for geophysical inverse problems, Geophys. J. R. Astron. Soc. 13, 247–276 (1967)
G. E. Backus, J. F. Gilbert, The resolving power of gross earth data, Geophys. J. R. Astron. Soc. 16, 169–205 (1968)
G. E. Backus, F. Gilbert, Uniqueness in the inversion of inaccurate gross earth data, Philos. Trans. R. Soc. Lond. Ser. A 266, 123–192 (1970)
A. Tarantola, B. Valette, Generalized non-linear inverse problems solved using the least squares criterion, Rev. Geophys. Space Phys. 20, 219–232 (1982)
T. Tanimoto, The Backus-Gilbert approach to the three-dimensional structure in the upper mantle, 1. Lateral variation of surface wave phase velocity with its error and resolution, Geophys. J. R. Astron. Soc. 82, 105–123 (1985)
A. M. Dziewonski, J. H. Woodhouse, Global images of the Earth’s interior, Science 236, 37–48 (1987)
R. A. Fisher, Dispersion on a sphere, Proc. R. Soc. London A 217, 295 (1953)
J.-P. Montagner, Regional three-dimensional structures using long-period surface waves, Ann. Geophys. 4, B3, 283–294 (1986)
P. Ho-Liu, J.-P. Montagner, H. Kanamori, Comparison of iterative back-projection inversion and generalized inversion without blocks: Case studies in Attenuation tomography, Geophys. J. 97, 19–29 (1989)
J.-P. Montagner, N. Jobert, Vectorial Tomography. II: Application to the Indian Ocean, Geophys. J. R. Astron. Soc. 94, 309–344 (1988)
J.-P. Montagner, H.-C. Nataf, Vectorial Tomography. I: Theory, Geophys. J. R. Astron. Soc. 94, 295–307 (1988)
T. Tanimoto, Long-wavelength S-wave velocity structure throughout the mantle, Geophys. J. Int. 100, 327–336 (1990)
B. H. Hager, R. W. Clayton, M. A. Richards, R. P. Comer, A. M. Dziewonski, Lower mantle heterogeneity, dynamic topography and the geoid, Nature 313, 541–545 (1985)
J.-P. Montagner, What can seismology tell us about mantle convection? Rev. Geophys. 32, 115–137 (1994)
J. B. Minster, T. H. Jordan, Present-day plate motions, J. Geophys. Res. 83, 5331–5354 (1978)
V. Babuska, J.-P. Montagner, J. Plomerova, N. Girardin, Age-dependent large-scale fabric of the mantle lithosphere as derived from surface-wave velocity anisotropy, Pure Appl. Geophys. 151, 257–280 (1998)
G. Masters, T. H. Jordan, P. G. Silver, F. Gilbert, Aspherical Earth structure from fundamental spheroidal-mode data, Nature 298, 609–613 (1982)
J.-P. Montagner, B. Romanowicz, Degrees 2, 4, 6 inferred from seismic tomography, Geophys. Res. Lett. 20, 631–634 (1993)
A. Cazenave, A. Souriau, K. Dominh, Global coupling of Earth surface topography with hotspots geoid and mantle heterogeneities, Nature 340, 54–57 (1989)
M. A. Richards, B. H. Hager, The Earth’s geoid and the large scale structure of mantle convection, In The Physics of the Planets, ed. by S.J. Runcorn (Wiley, New York 1988) p. 247–271
L. Vinnik, J.-P. Montagner, Shear wave splitting in the mantle from Ps phases, Geophys. Res. Lett. 23, 2449–2452 (1996)
Y. Capdeville, E. Stutzmann, J.-P. Montagner, Effect of a plume on long period surface waves computed with normal mode coupling, Phys. Earth Planet. Int. 119, 57–74 (2000)
J. Ying, H. C. Nataf, Detection of mantle plume in the lower mantle by deffrection tomography, Earth Planet. Sci. Lett. 159, 87–98 (1998)
E. Hunter, J. L. Thirst, J.-P. Montagner, Global correlations of ocean ridge basalt chemistry with seismic tomographic images, Nature 364, 225–228 (1993)
F. Birch, Elasticity and constitution of the Earth’s interior, J. Geophys. Res. 57, 227–228, (1952)
P. G. Silver, W. W. Chan, Shear wave splitting and subcontinental mantle deformation, J. Geophys. Res. 96, 16429–16454 (1991)
J.-P. Avouac, P. Tapponnier, Kinematic model of active deformation in central Asia, Geophys. Res. Lett. 20, 895–898 (1993)
P. England, G. Houseman, Finite strain calculations of continental deformation, 2. comparison with the India-Asia collision zone, J. Geophys. Res. 91, 3664–3676 (1986)
E. Clévédé, P. Lognonné, Fréchet derivatives of coupled seismograms with to an anelastic rotating Earth, Geophys. J. Int. 124, 456–482 (1996)
L. Peselnick, A. Nicolas, P. R. Stevenson, Velocity anisotropy in a mantle peridotite from Ivrea zone: Application to upper mantle anisotropy, J. Geophys. Res. 79, 1175–1182 (1974)
M. L. Smith, F. A. Dahlen, The azimuthal dependence of Love and Rayleigh wave propagation in a slightly anisotropic medium, J. Geophys. Res. 78, 3321–3333 (1973)
Y. Yu, J. Park, Anisotropy and coupled long-period surface waves, Geophys. J. Int. 114, 473–489 (1993)
H. Takeuchi, M. Saito, Seismic surface waves, Methods Comput. Phys. 11, 217–295 (1972)
R. D. Van der Hilst, H. Karason, Compositional heterogeneity in the bottom 1000 km of the Earth’s mantle: Toward a hybrid convection model, Science 283, 1885–1888 (1999)
G. Barruol, D. Mainprice, A quantitative evaluation of the contribution of crustal rocks to the shear-wave splitting of teleseismic SKS waves, Phys. Earth Planet. Int. 78, 281–300 (1993)
B. Dost, Upper mantle structure under western Europe from fundamental and higher mode surface waves using the NARS array, Geophys. J. R. Astron. Soc. 100, 131–151 (1990)
G. Ekström, A. M. Dziewonski, The unique anisotorpy of the Pacific upper mantle, Nature 394, 168–172 (1998)
T. Lay, T. C. Wallace, Modern Global Seismology (Academic, San Diego, Calif. 1995)
H.-C. Nataf, Y. Ricard, 3-SMAC: An a priori tomographic model of the upper mantle based on geophysical modeling, Phys. Earth Planet. Int. 95, 101–122 (1996)
R. Snieder, B. Romanowicz, A new formalism for the effect of lateral heterogeneity on normal modes and surface waves, I: Isotropic perturbations, perturbations of interfaces and gravitational perturbations, Geophys. J. R. Astron. Soc. 92, 207–222 (1988)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Montagner, JP. (2002). Seismic Anisotropy Tomography. In: Fink, M., Kuperman, W.A., Montagner, JP., Tourin, A. (eds) Imaging of Complex Media with Acoustic and Seismic Waves. Topics in Applied Physics, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44680-X_8
Download citation
DOI: https://doi.org/10.1007/3-540-44680-X_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41667-8
Online ISBN: 978-3-540-44680-4
eBook Packages: Springer Book Archive