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GEAGAM Report Summary

Project ID: 644202
Funded under: H2020-EU.1.3.3.

Periodic Reporting for period 1 - GEAGAM (Geophysical Exploration using Advanced GAlerkin Methods)

Reporting period: 2015-01-01 to 2016-12-31

Summary of the context and overall objectives of the project

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 need to 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. Specific objectives of this Project include:

I) Working with both 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 ex-centered, (b) marine controlled-source electromagnetic (CSEM) measurements in shallow waters, and (c) magnetotelluric (MT) measurements.

II) Developing (a) a mathematical modeling of multi-wave problems, (b) advanced numerical methods for Helmholtz problems, (c) a mathematical analysis of Helmholtz problems, and (d) construction of stabilized high-order hybrid Galerkin schemes.

III) Developing a large parallel simulation software of geophysical measurements.

IV) Building 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.

V) Apply the simulation and inversion software to complex geological environments. For example, those containing subsalt and pre-salt layers, and/or hydrocarbon-bearing shales exhibiting low porosity and permeability values.

VI) To study study the application of the developed numerical methods for geophysical exploration to other industries, including mining.

Work performed from the beginning of the project to the end of the period covered by the report and main results achieved so far

In the first two years of the project, we have made a relevant contribution to the development of state-of-the-art numerical methods for better estimating material properties composing the Earth´s subsurface. Specifically, we have:

(a) Made exceptional unexpected advances in the area of Isogeometric Analysis (IGA).

(b) Developed a parallel high-order Discontinuous Galerkin library for the efficient simulation of three-dimensional (3D) on surface and borehole elasto-acoustic measurements.

(c) Improved currently existing one-dimensional (1D) based model reduction methods for geophysical electromagnetic problems, and we are working on its extension to elasto-acoustic measurements.

(d) Developed an adaptive multi-dimensional inversion algorithm for geophysical measurements based on both semi-analytical 1D methods and high-order Galerkin methods for the secondary field.

(e) Developed a high-order goal-oriented adaptive method for wave propagation problems using unconventional dual problems for geophysical applications.

(f) Studied efficient grid generation techniques to model the Earth's subsurface.

(g) Performed multiscale modeling of wave propagation and elliptic problems with highly-heterogeneous coefficients.

(h) Ported and optimized a geophysical exploration software to target High Performance Computing (HPC) platforms.

Progress beyond the state of the art and expected potential impact (including the socio-economic impact and the wider societal implications of the project so far)

GEAGAM Network has developed a variety of numerical methods that have been widely disseminated through publications, workshops, post-graduate courses to train new researchers, a dedicated webpage, and visits to companies working in the area. As a result of it:

(a) Some partners of the Consortium are in conversations with oil companies to sign contracts for the further development of certain numerical methods.

(b) We have developed a novel Refined Isogeometric Analysis (rIGA) method that is approximately 50 times faster than other existing methods providing the same level of numerical error.

(c) We are providing an excellent training network for Graduate Students, Postdoctoral Researchers, and Professors.

(d) We have implemented a program of co-supervised dissertations between different institutions of the Consortium.So far, we have 7 co-supervised Ph.D. students.

(e) We have delivered several presentations to 20+ companies.

(f) We have published our results in peer-reviewed journals with high impact factor in different areas of knowledge (mathematics, numerical analysis, computer sciences, geophysics, and engineering) and deliver high-quality presentations on the topic at International Congresses.

(g) We have delivered intensive courses on geophysical exploration methods, advanced Galerkin methods for geophysics, and HPC for geophysical applications.

(h) We have organized lectures to high-school students in the area to disseminate the research results to the society at large.
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