TY - JOUR AU - Spada,, Giorgio AB - Summary We provide the analytical formulation for calculating the displacement and stress field forced by internal sources in a stratified, self-gravitating, viscoelastic earth. This model is specialized to study the rate of vertical motion and shear stress accumulation produced by lithospheric density anomalies. These sources are allowed to vary in the lateral direction. We show that sphericity plays a crucial role for elongated lithospheric anomalies while self-gravitation produces minor deviations from a gravitating Earth. When the model is applied to the Apennines we get, for lithospheric viscosity ranging between 1022 and 1023 Pa s, the subsidence of the plate underlying the active front of the overthrusting load to be around 0.5–1.0mm yr−1. This is consistent with the amount of sedimentation in the Adriatic foredeep. The deformation pattern is very peculiar, with the largest subsidence localized beneath the active front of the topography. Our model enlightens the impact of discontinuities of tectonic phases on vertical motions in collision zones. If lithospheric viscosity is around 1022 Pa s, vertical motions decay drastically on time scales of 105 yr if lateral migration of density anomalies comes to an end. For higher viscosities, deformation rates are maintained longer. This correlation between horizontal and vertical motions suggests that altimetric geodetic surveying along levelling lines of a few hundred kilometers can be an important tool to constrain the tectonics of the studied region. Results are also shown for vertical motions along a transect perpendicular to the Apennines, when the crustal structure inverted from Bouguer gravity data is considered. Analysis of the stress field induced by an overthrusting load shows that principal stress differences of a few bar (or a few tenths of MPa) can be accumulated on time scales of 102−03 yr. These low values agree with the average stress drop of earthquakes in the Appalachians and northern Apennines where our modelling can be applied. We find that lateral density variations certainly contribute to intraplate stresses, but they are less efficient in triggering earthquakes than other mechanisms, such as transcurrent motions along active plate margins. Seismicity induced by lateral variations of crustal and lithospheric density must be moderate, characterized by long return times. These results are in agreement with the recorded seismicity in the northern Apennines where the largest earthquakes have return times of 102 yr. If shear stress is forced by an overthrusting load, we find that the largest rate of stress accumulation in the crust is concentrated beneath the active front, close to the boundary with the ductile lithosphere. Discontinuities of tectonic phases play an important role in controlling the amount of shear stress due to density anomalies. rheology, density anomalies, ground motion, stress accumulation References Bonafede M. Boschi E. Dragoni M. , 1984 . A dislocation model of microplate boundary ruptures in the presence of a viscoelastic asthenosphere , Geophys. J. R. astr. Soc. , 76 , 515 – 529 . Google Scholar Crossref Search ADS WorldCat Bonafede M. Dragoni M. Morelli A. , 1986 . On the existence of a periodic dislocation cycle in horizontally layered viscoelastic models , J. geophys. Res. , 91 , 6396 – 6404 . Google Scholar Crossref Search ADS WorldCat Baldi P. Degli Angioli E. Piallini L. Mantovani E. , 1982 . Gravity anomaly interpretation in the Calabrian arc and surrounding regions , Earth Evol. Sci. , 3 , 243 – 247 . OpenURL Placeholder Text WorldCat Bally A. W. Burbi L. Cooper C. Ghelardoni P. , 1986 . Latettonica di scollamento nell' Appennino centrale . Prestampe Atti 73 Congresso Soc. Geol. It ., Roma 3/09 – 4/10 , pp. 75– 78 . Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC Caputo M. Pieri L. , 1976 . Eustatic sea variations in the last 2000 years in the mediterranean , J. geophys. Res. , 81 , 5787 – 5790 . Google Scholar Crossref Search ADS WorldCat Caputo M. Milana G. Rayhorn J. , 1984 . Topography and its isostatic compensation as cause of seismicity of the Apennines , Tectonophys. , 102 , 333 – 342 . Google Scholar Crossref Search ADS WorldCat Castellarin A. Vai G. B. , 1986 . Southalpine versus Po Plain Apenninic Arcs , The Origin of Arcs , pp. 253 – 280 , ed. Wezel F. C. , Elsevier , Amsterdam. Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC Castellarin A. Eva C. Giglia G. Vai G. B. , 1985 . Analisi strutturale del fronte Appenninico Padano , Giornale di Geologia, Ser. 3a , 47 , 47 – 75 . OpenURL Placeholder Text WorldCat Cloetingh S. A. P. L. , 1986 . Intraplate stresses: A new tectonic mechanism for fluctuations of relative sea level , Geology , 14 , 617 – 620 . Google Scholar Crossref Search ADS WorldCat Cloetingh S. A. P. L. McQueen H. Lambeck K. , 1985 . On a tectonic mechanism for regional sealevel variations , Earth Planet. Sci. Lett. , 75 , 157 – 166 . Google Scholar Crossref Search ADS WorldCat Dahlen F. A. , 1971 . The excitation of the Chandler wobble by earthquake , Geophys. J. R. astr. Soc. , 25 , 157 – 206 . Google Scholar Crossref Search ADS WorldCat Dragoni M. Bonafede M. Boschi E. , 1986 . Shallow earthquakes in a viscoelastic shear zone with depth-dependent friction and rheology , Geophys. J. R. astr. Soc. , 86 , 617 – 633 . Google Scholar Crossref Search ADS WorldCat Fleitout L. Froidevaux C. , 1982 . Tectonics and topography for a lithosphere containing density heterogeneities , Tectonics , 1 , 21 – 57 . Google Scholar Crossref Search ADS WorldCat Fung Y. C. , 1965 . Foundation of Solid Mechanics , chap. 15, Prentice-Hall , Englewood Cliffs, NJ. Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC Goetze C. , 1978 . The mechanisms of creep in olivine , Phil. Trans. R. Soc. A , 288 , 99 – 119 . Google Scholar Crossref Search ADS WorldCat Goetze C. Evans B. , 1979 . Stress and temperature in the bending lithosphere as constrained by experimental rock mechanics , Geophys. J. R. astr. Soc. , 59 , 463 – 478 . Google Scholar Crossref Search ADS WorldCat Hager B. H. , 1983 . Global isostatic geoid anomalies for plate and boundary layer models of the lithosphere , Earth planet. Sci. Lett. , 63 , 97 – 109 . Google Scholar Crossref Search ADS WorldCat Hager B. H. Clayton R. W. , 1987 . Constraints on the structure of mantle convection using seismic observations, flow models, and the geoid , in Mantle Convection , ed. Peltier W. R. , Pergamon Press , Oxford. Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC Hager B. H. O'Connell R. J. , 1981 . A simple global model of plate dynamics and mantle convection , J. geophys. Res. , 86 , 4843 – 4867 . Google Scholar Crossref Search ADS WorldCat Jordan T. E. , 1981 . Thrust loads and foreland basin evolution, Cretaceous, Western United States , Bull. Am. Ass. Petrol. Geol. , 65 , 2506 – 2520 . OpenURL Placeholder Text WorldCat Landau L. Lifshitz E. , 1967 . Theorie de l'Elasticite , chap. 4, Editions MIR , Moskow. Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC Mareschal J.-C. Kuang J. , 1986 . Intraplate stresses and seismicity: the role of topography and density heterogeneities , Tectonophys. , 132 , 153 – 162 . Google Scholar Crossref Search ADS WorldCat Meier M. F. , 1984 . Contribution of small glaciers to global sea level , Science , 226 , 1418 – 1421 . Google Scholar Crossref Search ADS PubMed WorldCat Mulargia F. Gasperini P. Tinti S. , 1987 . Contour mapping of Italian seismicity , Tectonophys. , 142 , 203 – 216 . Google Scholar Crossref Search ADS WorldCat North R. G. , 1974 . Seismic slip rates in the Mediterranean and Middle East , Nature , 252 , 560 – 563 . Google Scholar Crossref Search ADS WorldCat North R. G. , 1977 . Seismic moment, source dimensions and stress associated with earthquakes in the Mediterranean and Middle East , Geophys, J. R. astr. Soc. , 48 , 137 – 161 . Google Scholar Crossref Search ADS WorldCat O'Connell R. J. Hager B. H. , 1980 . On the thermal state of the earth , Proc. Enrico Fermi int. School Phys . (eds Dziewonski A. M. Boschi E. ), North-Holland , Amsterdam. Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC Patacca E. Scandone P. , 1988 . Structural evolution of the outer margin of the Apennines and related foredeep system , in The Lithosphere in Italy, Advances in Earth Sciences Research , eds Boriani A. , Bonafede M. , Piccardo G. B. Vai G. B. , in print. Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC Pieri M. , 1983 . Three seismic profiles through the Po plain . Am. Ass. Petrol. Geol. Studies in geology. Series 15 , 3 , 8 – 26 . OpenURL Placeholder Text WorldCat Quinlan G. M. Beaumont C. , 1984 . Appalachian thrusting, lithospheric flexure, and the Paleozoic stratigraphy of the Eastern Interior of North America , Can. J. Earth Sci. , 21 , 973 – 996 . Google Scholar Crossref Search ADS WorldCat Rayleigh J. W. S. , 1906 . On the dilatational stability of the Earth , Proc. R. Soc. A , 77 , 486 – 495 . Google Scholar Crossref Search ADS WorldCat Ricard Y. Fleitout L. Froidevaux C. , 1984 . Geoid heights and lithospheric stresses for a dynamic earth , Annal. Geophys. , 2 , 267 – 286 . OpenURL Placeholder Text WorldCat Richards M. A. Hager B. H. , 1984 . Geoid anomalies in a dynamic Earth , J. geophys. Res. , 89 , 5987 – 6002 . Google Scholar Crossref Search ADS WorldCat Sabadini R. Peltier W. R. , 1981 . Pleistocene deglaciation and the Earth rotation: implications for mantle viscosity , Geophys. J. R. astr. Soc. , 66 , 553 – 578 . Google Scholar Crossref Search ADS WorldCat Sabadini R. Yuen D. A. Boschi E. , 1982 . Polar wandering and the forced responses of a rotating, multilayered, viscoelastic planet , J. geophys. Res. , 87 , 2885 – 2903 . Google Scholar Crossref Search ADS WorldCat Sabadini R. Yuen D. A. Boschi E. , 1984 . The effects of post-seismic motions on the moment of inertia of a stratified viscoelastic Earth with an asthenosphere , Geophys. J. R. astr. Soc. , 79 , 727 – 746 . Google Scholar Crossref Search ADS WorldCat Sartori R. , 1988 . Drilling of OPD Leg 107 in the Tyrrhenian Sea: tentative basin evolution compared to deformation in the surrounding chains , in The Lithosphere in Italy, Advances in Earth Science Research , eds Boriani M. , Bonafede M. , Piccardo G. B. Vai G. B. , in print. Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC Tinti S. Lenzi G. Mulargia F. , 1985 . A seismicity study of the Northern Apennine region , Atti della Accademia Nazionale dei Lincei , LXXVII , 135 – 144 . OpenURL Placeholder Text WorldCat Vai G. B. , 1988 . Vertebrates in the Romagna Apennines-field trip guidebook , in Continental Faunas of the Miocene/Pliocene Boundary , Int. Workshop Faenza , 1988 . Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC Walcott R. I. , 1970 . Flexural rigidity, thickness, and viscosity of the lithosphere , J. geophys. Res. , 75 , 3941 – 3954 . Google Scholar Crossref Search ADS WorldCat Wilson P. , Reinhart E. Pearlman M. , (eds), 1985 . Wegener-Medlas Project Plan , Institut fuer Angewandte Geodasie , Frankfurt am Main. Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC Google Scholar Wortel M. J. R. Cloetingh S. A. P. L. , 1986 . On the dynamics of convergent plate boundaries and stress in the lithosphere , in The Origin of Arcs , pp. 253 – 280 , ed. Wezel F. C. , Elsevier , Amsterdam. Google Scholar Google Preview OpenURL Placeholder Text WorldCat COPAC This content is only available as a PDF. TI - Ground motion and stress accumulation driven by density anomalies in a viscoelastic lithosphere. Some results for the Apennines JF - Geophysical Journal International DO - 10.1111/j.1365-246X.1988.tb06697.x DA - 1988-12-01 UR - https://www.deepdyve.com/lp/oxford-university-press/ground-motion-and-stress-accumulation-driven-by-density-anomalies-in-a-zvV0RAFfL1 SP - 463 EP - 480 VL - 95 IS - 3 DP - DeepDyve ER -