Accurate assessment of 3D crustal velocity and density parameters: Application to Vesuvius data sets

Abstract The three-dimensional P-wave velocity and density structure of Mt. Vesuvius volcano has been revealed by tomographic inversion of seismic and gravity data. We apply the tomographic inversion method of sequential integrated inversion, now extended to 3D structures, to the first arrival travel time data collected during 1994 and 1996 TOMOVES experiment and to a new gravity map of the Campanian area. The approach, now significantly improved, allows us to reconstruct both velocity and density structures, while reducing traveltimes and gravity residuals. Inversion of traveltimes, modelled through a ray-tracing technique, is performed using an iterative algorithm which uses the second order Sobolev norm as the regularization term of the ill conditioned seismic inverse problem. This speeds up the optimization problem and allows us to obtain stable solutions with a weak dependence on the starting model and on the chosen discretization. In order to improve the match between seismic and gravity modelling and to avoid artificial density contrasts across the interfaces, the density model is parametrized with polyhedral bodies whose density is linearly dependent on the three coordinates. This study brings insight into the main velocity and density structural units of Mt. Vesuvius, which include a C shaped negative anomaly surrounding the flanks of the crater up to depths of 6 km. This anomaly is bordered in the south by a strip of high density gradients which run parallel to the Sorrento peninsula, and in the east by an intruding Mesozoic carbonate basement structure. We observe evidence for the thinning of the hard dolomites in the north-western and south-eastern part of the model, related to previously observed NW–SE and SW–NE collapse faults within the Plio-Pleistocene graben of the Campanian plain. Beneath the volcano edifice, we find a positive and thick intrusion anomaly which we compare to the results of previous studies. The reliability of the reconstructed models is quantified through a restoring test and the estimation of traveltimes and gravity residuals.

[1]  V. Pohánka OPTIMUM EXPRESSION FOR COMPUTATION OF THE GRAVITY FIELD OF A HOMOGENEOUS POLYHEDRAL BODY1 , 1988 .

[2]  Bernd Lahmeyer,et al.  Application of three‐dimensional interactive modeling in gravity and magnetics , 1988 .

[3]  J. Ibáñez,et al.  Attenuation of short-period seismic waves at Mt Vesuvius, Italy , 1999 .

[4]  Maurizio Fedi,et al.  3-D inversion of gravity and magnetic data with depth resolution , 1999 .

[5]  D. Plouff,et al.  Derivation of formulas and FORTRAN programs to compute gravity anomalies of prisms , 1975 .

[6]  Antonio Pepe,et al.  Volcanic spreading of Vesuvius, a new paradigm for interpreting its volcanic activity , 2005 .

[7]  Mike Dentith,et al.  The determination and application of vector gravity anomalies , 2000 .

[8]  Luca D'Auria,et al.  Bayesian estimation of 2-D P-velocity models from active seismic arrival time data: imaging of the shallow structure of Mt Vesuvius (Southern Italy) , 2002 .

[9]  M. Taylor,et al.  Composition and microstructure of magma bodies from effective medium theory , 2002 .

[10]  J. E. Jackson A User's Guide to Principal Components , 1991 .

[11]  A. Nur,et al.  Ultrasonic velocity measurements in volcanic rocks: correlation with microtexture , 2002 .

[12]  Albert Tarantola,et al.  Monte Carlo sampling of solutions to inverse problems , 1995 .

[13]  J. Virieux,et al.  Seismic Evidence for a Low-Velocity Zone in the Upper Crust Beneath Mount Vesuvius , 1996, Science.

[14]  L. Civetta,et al.  Thermal and geochemical constraints on the ‘deep’ magmatic structure of Mt. Vesuvius , 2004 .

[15]  F. Bianco,et al.  High resolution velocity structure beneath Mount Vesuvius from seismic array data , 2002 .

[16]  Riccardo Barzaghi,et al.  Sequential integrated inversion of refraction and wide-angle reflection traveltimes and gravity data for two-dimensional velocity structures , 2000 .

[17]  G. B. Cimini,et al.  Teleseismic tomography of the Campanian volcanic area and surrounding Apenninic belt , 2001 .

[18]  Analysis of multiple scattering at Vesuvius volcano, Italy, using data of the TomoVes active seismic experiment , 2003 .

[19]  A. Zollo,et al.  Depth of a Midcrustal Discontinuity beneath Mt. Vesuvius from the Stacking of Reflected and Converted Waves on Local Earthquake Records , 2004 .

[20]  Petr Bulant,et al.  Two-point ray tracing in 3-D , 1996 .

[21]  C. Chiarabba,et al.  Active source tomography at Mt. Vesuvius: Constraints for the magmatic system , 2002 .

[22]  J. Virieux,et al.  Seismic Evidence of an Extended Magmatic Sill Under Mt. Vesuvius , 2001, Science.

[23]  P. Gasparini Looking inside Mt.Vesuvius , 1998 .

[24]  G. Berrino,et al.  Sea gravity data in the Gulf of Naples: a contribution to delineating the structural pattern of the Vesuvian area , 1998 .

[25]  A. Tarantola Inverse problem theory : methods for data fitting and model parameter estimation , 1987 .

[26]  F. Delprat-Jannaud,et al.  WHAT INFORMATION ON THE EARTH MODEL DO REFLECTION TRAVEL TIMES PROVIDE , 1992 .

[27]  R. O. Hansen An analytical expression for the gravity field of a polyhedral body with linearly varying density , 1999 .

[28]  G. Natale,et al.  Seismicity and 3-D substructure at Somma–Vesuvius volcano: evidence for magma quenching , 2004 .

[29]  M. Nafi Toksöz,et al.  Nonlinear refraction traveltime tomography , 1998 .

[30]  F. Mulargia,et al.  The tectonic setting of Mount Vesuvius and the correlation between its eruptions and the earthquakes of the Southern Apennines , 1993 .

[31]  G. Luongo,et al.  Internal structures of the Campi Flegrei caldera by gravimetric data , 1995 .

[32]  H. Holstein,et al.  Gravimetric analysis of uniform polyhedra , 1996 .

[33]  The collocation approach to the inversion of gravity data , 1992 .

[34]  J. Virieux,et al.  P‐wave arrival time inversion by using the τ‐p method: Application to the Mt. Vesuvius Volcano, southern Italy , 1997 .

[35]  R. Franco,et al.  Three‐dimensional modeling of Mount Vesuvius with sequential integrated inversion , 2003 .

[36]  V. Pohánka,et al.  Optimum expression for computation of the gravity field of a polyhedral body with linearly increasing density , 1998 .

[37]  M. Zamora,et al.  Laboratory measurements of ultrasonic wave velocities in rocks from the Campi Flegrei volcanic system and their relation to other field data , 1994 .

[38]  R. Tondi,et al.  Seismic travel time inversion for 3D structures regularized with Sobolev norms , 2005 .

[39]  G. Nolet,et al.  Chaotic ray behaviour in regional seismology , 1997 .

[40]  Jean Virieux,et al.  Precise, absolute earthquake location under Somma–Vesuvius volcano using a new three-dimensional velocity model , 2001 .

[41]  Donald Plouff,et al.  GRAVITY AND MAGNETIC FIELDS OF POLYGONAL PRISMS AND APPLICATION TO MAGNETIC TERRAIN CORRECTIONS , 1976 .