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.


Apr 1, 2018 - Mar 31, 2022.


Project Management Team (PMT): David Pardo (Project Coordinator, UPV/EHU), and Shane Reilly (Administrative Coordinator, UPV/EHU), Ainara Gonzalez (Innovation Manager, BCAM).

Scientific Committee: David Pardo (UPV/EHU), Helene Barucq (Inria), Josep de la Puente (BSC), Julen Álvarez-Aramberri (BCAM), Pedro Díez (UPC), Carlos Santos (Repsol), Ricardo Durán (UBA), Juan Galvis (UNC), Otilio Rojas (UCV), Carlos Pérez-Arancibia (UC), Ignacio Muga (PUCV), Juan Carlos Alfonso (MACQ), Victor M. Calo (CU), and Carlos Torres-Verdín (UT).


University of the Basque Country (UPV/EHU)

Basque Center for Applied Mathematics (BCAM)

Institut National de Researche en Informatique en en Automatique (Inria)

Barcelona Supercomputing Center (BSC)

Universidad Politécnica de Cataluña (UPC)

Repsol S. A.

Pontificia Universidad Católica de Valparaíso (PUCV)

Pontificia Universidad Católica de Chile (PUCC)

Universidad Nacional de Colombia (UNC)

Universidad Central de Venezuela (UCV)

Universidad de Buenos Aires (UBA)

The University of Texas at Austin (UTEXAS)

Macquaire University (MACQ)

Curtin University (CU)


Work Package 1: Management. WP1 includes all management activities and the setup process to ensure that the project reaches the planned objectives in terms of expected technical outputs, schedule, and resource use. As project leader, UPV/EHU will coordinate the overall structure of the project.

Work Package 2: Analysis of elasto‐acoustic properties of porous rocks. Main objectives: a) Mathematically characterise elastic wave propagation in porous rocks. b) Identify key rock parameters. c) Design and implement high‐order implicit time schemes for the direct simulation of poroelastic wave propagation. d) Design and implement Artificial Boundary Conditions (ABCs) for poroelastic problems.

Work Package 3: Parallel simulation of geophysical wave propagation problems with high continuity and/or high‐order discretisations. Main objectives: a) Stabilise elasto‐acoustic wave propagation problems using high‐order and high‐continuity methods. b) Apply conservative properties of high‐order Galerkin methods to geophysical problems. c) Analyse and develop Finite Element Methods for degenerate elliptic problems and non‐local equations appearing in geophysics. d) Design parallel reduced order models for wave propagation geophysical problems. e) Perform large‐scale geophysical simulations of elastic properties.

Work Package 4: Parallel joint inversion of multi‐scale, multi‐dimensional, and/or multi‐physics measurements. Main objectives. a) Define suitable parametrizations for multi‐parameter inversion. b) Develop deep learning techniques for the inversion of elasto-acoustic properties at different scales (rock samples, seismic cross sections, and seismic volumes). c) Design and implement a parallel high‐order Galerkin method to solve direct and inverse electromagnetic and elasto‐acoustic geophysical problems.

Work Package 5: Industrial applications and exploitation by industry. Main objectives: a) Characterise elasto‐acoustic and electromagnetic properties of porous rocks acquired on the field. b) Practical geosteering inversion of extra‐deep resistivity measurements, taking into account previously existing elasto‐acoustic and/or electromagnetic data. c) Manage the IPR and exploit the results of MATHROCKS.

Work Package 6: Transfer of knowledge and dissemination. Considering the importance of emphasizing the visibility of MATHROCKS to promote the uptake of the project outputs for further applications, WP6 will ensure the production of the most appropriate communication tools, adapted to different target audiences, and of growing complexity throughout the project implementation and the implementation of a wide communication campaign outside the consortium. An efficient protection mechanism of any relevant knowledge, products and services resulting from the project activities will be devised and managed here, in conjunction with industrial work package WP5.



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