Gravity Interpretation: Fundamentals and Application of Gravity Inversion and Geological Interpretation
Springer Science & Business Media, Feb 1, 2009 - Science - 395 pages
Gravity interpretation involves inversion of data into models, but it is more. Gravity interpretation is used in a “holistic” sense going beyond “inversion”. Inversion is like optimization within certain a priori assumptions, i.e., all anticipated models lie in a limited domain of the a priori errors. No source should exist outside the anticipated model volume, but that is never literally true. Interpretation goes beyond by taking “outside” possibilities into account in the widest sense. Any neglected possibility carries the danger of seriously affecting the interpretation. Gravity interpretation pertains to wider questions such as the shape of the Earth, the nature of the continental and oceanic crust, isostasy, forces and stresses, geol- ical structure, nding useful resources, climate change, etc. Interpretation is often used synonymously with modelling and inversion of observations toward models. Interpretation places the inversion results into the wider geological or economic context and into the framework of science and humanity. Models play a central role in science. They are images of phenomena of the physical world, for example, scale images or metaphors, enabling the human mind to describe observations and re- tionships by abstract mathematical means. Models served orientation and survival in a complex, partly invisible physical and social environment.
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Gravity Interpretation: Fundamentals and Application of Gravity Inversion ...
Wolfgang Jacoby,Peter L. Smilde
No preview available - 2009
algorithms analysis applied approximate assumed body Bouguer anomaly Bouguer plate boundary calculated Cartesian Chap components coordinates correlation covariance matrix crust crustal cylinder defined density contrast depth derived diatreme dipole disks distance Earth edge eigen-vectors ellipsoid equation errors estimated example F-statistic function geodesy geoid geological geometry geophysics gradient gravimeters gravity anomalies gravity data gravity effect gravity field gravity interpretation half width harmonic horizontal Iceland Iceland plume integration inversion isostasy isostatic iteration Jacoby layer linear Maar magnetic mantle mantle plume mass elements mass line measurements methods mGal Moho non-linear normal nullspace observations optimization parameters plane plume polygon posteriori potential priori information problem radii radius reduction reference region relative residuals rock rotation scale Sect sediments seismic shelf solid angle solution spherical spherical harmonics standard deviations station structures surface thickness Tikhonov regularization tion topography uncertainty values variables vector vertical Δρ