Mantle circulation models with variational data assimilation: inferring past mantle flow and structure from plate motion histories and seismic tomography

By Hans-Peter Bunge, C. Hagelberg, B. Travis. 2001

215 citations recorded by the source corpus.

Subfields: Geophysics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/4e8ae5a1a2a00d77247df2f3b79b50790b2cea46

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Citations in the corpus

Seismic tomography, surface uplift, and the breakup of Gondwanaland: Integrating mantle convection backwards in time (2003, methodology): “This method has been demonstrated previously [Bunge and Richards, 1992; Bunge et al., 2003], and has been used to predict observables that are sensitive to the gross redistribution of mantle density heterogeneities throughout the mantle [Forte and Mitrovica, 1997; Steinberger and O’Connell, 1997,…”
Full seismic waveform tomography for upper-mantle structure in the Australasian region using adjoint methods (2009, methodology): “We decided to implement the adjoint method, which has been effective in as diverse fields as seismology (e.g. Sieminski et al. 2007a,b; Liu & Tromp 2008; Stich et al. 2009), geodynamics (e.g. Bunge et al. 2003) or meteorology (e.g. Talagrand & Courtier 1987).”
Theoretical background for continental‐ and global‐scale full‐waveform inversion in the time–frequency domain (2008, background): “…adjoint method are not limited to seismology (e.g. Tarantola 1988; Tromp et al. 2005), but can also be found in several other branches of the Earth sciences, including meteorology (e.g. Talagrand & Courtier 1987), ground water modelling (e.g. Sun 1994) or mantle dynamics (e.g. Bunge et al. 2003).”
Seismic imaging: From classical to adjoint tomography (2012, methodology): “…by the success of adjoint methods in meteorological (e.g., Courtier and Talagrand, 1987; Talagrand and Courtier, 1987) and geodynamical (e.g., Bunge et al., 2003) applications, (Tromp et al., 2005) made important connections among time-reversal imaging, finite-frequency sensitivity kernels…”
Thermal versus elastic heterogeneity in high‐resolution mantle circulation models with pyrolite composition: High plume excess temperatures in the lowermost mantle (2009, background): “The difficulty arises from lack of information on the initial condition [Bunge et al., 2003] and uncertainties in models of plate motion history, which grow larger as one goes back in time.”
Tomographic filtering of high‐resolution mantle circulation models: Can seismic heterogeneity be explained by temperature alone? (2009, background): “The poor geographic correlation, however, is primarily due to the unknown initial condition of the forward problem of mantle dynamics [Bunge et al., 2003], and uncertainties in the plate motion history [Bunge et al.”
Fluidity: A fully unstructured anisotropic adaptive mesh computational modeling framework for geodynamics (2011, background): “Similar problems occur with global adjoint/data assimilation techniques [Bunge et al., 2003]: detailed regional geological constraints are often ignored as the underlying computational grid is too coarse to reliably assimilate the information.”
Global plate motion frames: Toward a unified model (2008, methodology): “Other methods, such as variational data assimilation and adjoint methods [e.g., Bunge et al., 2003; Ismail-Zadeh et al., 2006], will be needed to reconstruct mantle density and flow further back in time.”
The many surface expressions of mantle dynamics (2010, methodology): “Several methods — including so-called adjoint models where one searches for the best initial condition of a forward model that will match the present-day situation — have been recently devised to achieve thi”
Tomography, Adjoint Methods, Time-Reversal, and Banana-Doughnut Kernels (2004, background): “Such adjoint equations can be quite complicated (see e.g. Bunge et al. 2003, for an example in geodynamics), but we will see that for the seismological inverse problem they are rather straightforward.”
Joint three-dimensional inversion of coupled groundwater flow and heat transfer based on automatic differentiation: sensitivity calculation, verification, and synthetic examples (2006, background): “Bunge et al. 2003; Neuman & Carrera 1985; Sun 1994; Marchuk 1995; Marchuk & Agoshkov 1996) is a computationally efficient alternative, but requires the analytic derivation of adjoints and manually written code.”
On the uncertainties in hot spot reconstructions and the significance of moving hot spot reference frames (2005, background): “As pointed out by Steinberger and O’Connell [1998], Conrad and Gurnis [2003], and Bunge et al. [2003], there are severe problems in what are effectively ‘‘backward-convection’’ calculations for times greater than 70 Myr. The problem is thermal diffusion; this is inherently a forward process. Once he”
Global dynamic topography observations reveal limited influence of large-scale mantle flow (2016, methodology): “If these two columns are in isostatic equilibrium, then Pa = Pb. Expanding Equations 26 and 27, cancelling out common factors, and re-arranging yields ∆T = U (1− αT◦) hα .”