Title: Geophysical Exploration using Advanced Galerkin Methods (GEAGAM).

Summary: The main objective of this Marie Curie RISE action is to improve and exchange interdisciplinary knowledge on applied mathematics, high performance computing, and geophysics to be able to better simulate and understand the materials composing the Earth's subsurface. This is essential for a variety of applications such as CO2 storage, hydrocarbon extraction, mining, and geothermal energy production, among others. All these problems have in common the need to obtain an accurate characterization of the Earth's subsurface, and to achieve this goal, several complementary areas will be studied, including the mathematical foundations of various high-order Galerkin multiphysics simulation methods, the efficient computer implementation of these methods in large parallel machines and GPUs, and some crucial geophysical aspects such as the design of measurement acquisition systems in different scenarios. Results will be widely disseminated through publications, workshops, post-graduate courses to train new researchers, a dedicated webpage, and visits to companies working in the area. In that way, we will perform an important role in technology transfer between the most advanced numerical methods and mathematics of the moment and the area of applied geophysics.

    University of the Basque Country (UPV/EHU)
    Basque Center for Applied Mathematics (BCAM)
    Institut National de Researche en Informatique et en Automatique (INRIA)
    Barcelona Supercomputing Center (BSC)
    TOTAL S.A.
    Politécnica Universidad Católica de Valparaíso (PUCV)
    Universidad de Chile (UCHILE)
    Universidad Técnica Federico Santa Maria (USM)
    The University of Texas at Austin (UT)
    King Abudullah University of Sciences and Technology (KAUST)
    Curtin University (UC)

Duration: Jan 2015 - Dec. 2017.

Funding: 580,500 Euros.

Work DescriptionOur work is divided into the following work packages: 
Work Package 1: Management. 
Scientific and Administrative Management of the GEAGAM exchange program will contribute to the success of our project. Its efficiency assures global quality, timely finalization of the deliverables, mobility continuity and reports, and transparency towards the European Commission and project partners.

Work Package 2: High-order Galerkin Methods for Electromagnetic Exploration. 
We shall work both on borehole and on surface measurements, including: (a) complex borehole environments such as those encountered in deviated (and possibly cased) wells when the logging instrument is borehole excentric, (b) marine controlled-source electromagnetic (CSEM) measurements in shallow waters, and (c) magnetotelluric (MT) measurements.

Work Package 3: Stabilized High-order Galerkin Methods for Seismic Exploration.
We will focus on: (a) Mathematical modeling of multi-wave problems, (b) Advanced Numerical Methods for Helmholtz problems. (c) Mathematical analysis of Helmholtz problems, and (d) Construction of stabilized high-order hybrid Galerkin schemes.

Work Package 4: Large Parallel Simulations of Geophysical Measurements.
In this area of research, we consider the following tasks: 
(a) HPC co-design of the best candidate application. Definition of target application size and architecture. 
(b) Porting and optimization to target HPC platforms. 
(c) Scalability study and Parallel IO. 
(d) Setup and execution of large-scale demonstration (capacity or grand challenge test). 

Work Package 5: Inversion Methods using Model Reduction and Dimensionally Adaptive Inversion.
The objective of this work package is to build a multiphysics inversion method based on an adaptive multi-dimensional model for the rapid inversion of borehole geophysical resistivity, elastoacoustic, and possibly nuclear measurements that can be interpreted in terms of a 1D model plus a salient 2D or 3D feature. Then, this high-resolution borehole information will be used to guide inversion of 3D seismic images.

Work Package 6: Industrial Applications and Transfer of Knowledge.
Much current resource exploration is performed in complex geological environments. For example, hydrocarbon exploration interest in the Gulf of Mexico and on either side of the South Atlantic includes significant subsalt and pre-salt plays which require accurate characterization beneath irregularly-shaped salt bodies which may be several kilometers thick.
A second area of great current industrial interest is the exploitation of hydrocarbon-bearing shales of low porosity and permeability, which are now believed to contain very significant reserves. 
We shall also study the application of the developed numerical methods for geophysical exploration to other industries, including mining.