Objective
This project will develop a unified theory of Love-type and Rayleigh-type vibrations in plane, spherically and cylindrically layered elastic media. Algorithms and computer programmes for the forward and inverse modeling of P (primary), SV (secondary vertical) and SH (secondary horizontal) wave propagation will also be devised.
All these vibrations can be described as solutions of Sturm-Liouville equations: in scalar form the Love waves and in matrix form for Rayleigh waves. The common features of these equations allows the project to find an exact solution to the long standing "Earth flattening" problem for P-SV vibrations. By using the Sturm-Liouville representation, many explicitly integrable cases can also be found for the Rayleigh-type equations in heterogeneous media. The classical reflectivity algorithm can thus be extended to include piecewise heterogeneous layers. This approach results in a considerable reduction of the computation time in media with velocity gradients. The same representation makes it possible to solve the inverse problem efficiently: it allows to estimate the elastic parameters and density as a function of depth from the characteristics of Love and Rayleigh surface waves at a fixed frequency. The inversion of Rayleigh waves is interconnected with the mathematical study of the spectrum of the related boundary value problem.
The main objectives of the project are, therefore, to carefully study the properties of the exact Earth flattening transformation and to write the corresponding computer programme, to develop a programme for the fast computation of synthetic seismograms and to test its accuracy, and to explore the possibilities of monochromatic surface waves inversion and its extension to full waveform inversion.
The methods described above will be applied to the following seismological problems:
the study of the mantle discontinuities and core-mantle boundary;
the determination of the earthquake source mechanisms;
the modelling of the spheroidal oscillations of the Earth;
the inversion of seismological data with a monochromatic source and as an iterative full waveform procedure.
The research results will be presented as scientific papers in international journals as well as computer programmes for the forward and inverse modeling of seismic wave propagation in layered media which will serve to test the feasibility and numerical stability of the methods and algorithms mentioned above.
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
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Coordinator
38041 Grenoble
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.