Alicia Arjona Almodóvar

Photo of Dr. Alicia Arjona Almodóvar

Research interest

My research work aims to create a bridge between geodynamics and applied mathematics and it is mainly motivated by the belief that studying rigorous formulation of models might provide a lot of information on the physical processes underlying the phenomena occurring on Earth. Thus, I would like to bring together theoretical and numerical problems from diverse disciplines such as geodynamic processes, geophysics, volcanic risk, solid and fluid mechanics framing them in more general mathematical contexts.

I am currently working at European Center for Geodynamics and Seismology (Marie Curie Post-doctoral, AFR Grant 4832278) under the advice of Dr. Nicolas d’Oreye (European Center for Geodynamics and Seismology) and Dr. François Kervyn (Royal Museum for Central Africa, Belgium) in collaboration with J. Ildefonso Díaz (Universidad Complutense de Madrid, Spain), Tomás Chacón (Universidad de Sevilla, Spain) and Frédéric Hecht (Université Pierre et Marie Curie, France).

I contribute to the development of advanced processing techniques for Differential Interferometric Synthetic Aperture Radar (DInSAR) and apply them to study ground deformation in Luxembourg and Africa. Analysis and interpretation of these results are performed in collaboration with international partners (such as the teams of the GeoRisCa BELSPO peer reviewed project) and end-users in Africa (such as the Goma Volcano Observatory) and Luxembourg (such as the Geological Survey of Luxembourg). I am also improving and developing theoretical and numerical models of deformation sources and subsurface processes. And I am performing advanced theoretical and numerical modeling using Finite Element Modeling methods.

Education

  • 2006-2010 – Ph.D. in Mathematics, UCM, Spain.
    Thesis title: “Modelos de Ecuaciones en Derivadas Parciales en geodinámica y geotecnia. Aplicaciones al vulcanismo” (advisor: Prof. Dr. J. Ildefonso Díaz, Dr. José Fernández).
  • 2004-2006 – MSc in Mathematics, UCM, Spain.
  • 1997-2004 – BSc in Mathematics, Universidad Complutense de Madrid, Spain.

Professional Experience

  • 2013-2015 Marie Curie Post-doctoral Grant, European Center for Geodynamics and Seismology, Luxembourg.
  • 2012 Research Scientist, Instituto de Geociencias (CSIC-UCM), Spain.
  • 2011 Post-Doctoral Fellowship, Instituto de Matemáticas Interdisciplinar (UCM), Spain.
  • 2011 Research Scientist, Universidad de Sevilla, Spain.
  • 2010-2011 Post-Doctoral Fellowship, Instituto de Matemáticas de la Universidad de Sevilla, Spain.
  • 2006-2010 Instituto de Astronomía y Geodesia, (CSIC-UCM), Spain.

Professional Activities

  • Honorific Collaborator at Universidad Complutense de Madrid (Spain)
  • Sociedad Española de Matemática Aplicada (SEMA) membership
  • Real Sociedad de Matemática Española (RSME) membership
  • American Geophysical Union (AGU) membership

Publications

In Review

  1. Arjona, A., Díaz, Stabilization of a hyperbolic/elliptic system modelling the viscoelastic-gravitational deformation in a multilayered earth. 2014. Submitted to Pure and Applied Geophysics. 2014.
  2. Arjona, A., Díaz, J.I., Fernández, J., Rundle, J., On the viscoelastic-gravitational problem in multilayer media. Submitted to AIMS Dynamical Systems, Differential Equations and Applications proceedings, 2014.

Peer-reviewed journal publications

  1. Arjona, A., Díaz, J.I., Geometrical evolution of volcanoes. A theoretical approach. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. DOI: 10.1007/s13398-014-0198-y. 2014.
  2. Prieto, J.F., P. J. González, A. Seco, G. Rodríguez-Velasco, L. Tunini, P. A. Perlock, A. Arjona, A. Aparicio, A. G. Camacho, J. B. Rundle, K. F. Tiampo, J. L. G. Pallero, S. Pospiech, J. Fernández Geodetic and Structural Research in La Palma island, Canaries, Spain: 1992-2007 results. Pure and Applied Geophysics. Volumen: 166 N.8/9. 2009.
  3. Camacho, A.G., Fernández, J., González, P.J., Rundle, J.B., Prieto, J.G., Arjona, A., Structural results for La Palma Island using 3D gravity inversion. Journal of Geophysical Research. B05411, doi: 10.1029/2008JB005628. 2009.
  4. Arjona, A., Díaz, J.I., Fernández, J., Rundle, J.B., On the mathematical analysis of a viscoelasticity layered for magmatic intrusions: The stationary case. Pageoph topical volumes. (Reprint Pure and Applied Geophysycs). ISBN 978-3-7643-8906-2,2208.

Conference proceedings

  1. Camacho, A.G., Fernández, J., Arjona, A., Pallero, J.L., García-Jeréz, A., Luzón, F., Determinación de la estructura 3D de la Cuenca de Zafarraya mediante observación gravimétrica. Homenaje a la Profesora María Dolores Romacho Romero. Universidad de Almería, 51-64. ISBN: 978-84-15487-24-1. Editores: J.M. García y F. Luzón. 2012
  2. A. Arjona et al. Numerical modeling of volcanic ground deformation. Actas de XXII CEDYA (XI Congreso de Matemática Aplicada), Palma de Mallorca. 2011.
  3. A. Arjona et al. Deformation analysis employing the Coherent Pixel Technique and ENVISAT and ERS images in Canary islands. Proceedings of the 7th International Workshop on Advances in the Science and Applications of SAR Interferometry. European Space Agency (FRINGE’2009), Frascati, Italy, Noviembre 2009. : ISBN: 978-92-9221-241-4.2010.
  4. A. Arjona et al. On the applicability of an Advanced DInSAR technique near Itoiz and Yesa reservoirs, Navarra, Spain. Proceedings of the 7th International Workshop on Advances in the Science and Applications of SAR Interferometry. European Space Agency (FRINGE’2009), Frascati, Italy, Noviembre 2009. ISBN: 978-92-9221-241-4. 2010.
  5. A. Arjona et al. Geometric form of volcanoes with a limited base. Actas de XXI CEDYA (X Congreso de Matemática Aplicada), Ciudad Real. ISBN 978-84-692-6473-7. 2009.
  6. A. Arjona et al. Convergence to Equilibrium for a Hyperbolic / Elliptic System Modelling the Viscoelastic-­‐Gravitational Deformation of a Layered Earth. Actas de XX CEDYA (X Congreso de Matemática Aplicada). Sevilla, 24-­‐28 Septiembre 2007. ISBN 978-­‐84-­‐690-­‐7182-­‐3. 2007.

Conference Presentations

  1. Arjona, A., M. Gómez, T. Chacón , Numerical solution of an elastic and viscoelastic gravitational models by the finite element method, American Geophysical Union, Fall Meeting. San Francisco, CA, USA. Decembre 2014.
  2. d’Oreye N., Arjona, A. Unified Methodology for Detecting Trend Changes and Outliers in Time Series: application to Ground Deformation in the Virunga Volcanic Province. American Geophysical Union, Fall Meeting. San Francisco, CA, USA. Decembre 2014.
  3. Arjona, A., J.I. Díaz Stabilization of a hyperbolic/elliptic system modelling the viscoelastic-gravitational deformation in a multi-layered Earth, The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, July 07 – July 11, 2014, Madrid, Spain.
  4. Arjona, A., On the methologies and analysis of ground deformation in volcanic areas, Fifth FreeFem++ Workshop on Generic Solver for PDEs: FreeFem++ and Applications. Université Pierre et Marie Curie, Jacques-Louis Lions Laboratory, Paris, 10-12 December, 2013.
  5. Arjona, A., d’Oreye, N., Viloria, A., Detection of Trend Changes and Outliers from Multidimensional Time Series: applications to ground deformation in the Virunga Volcanic Province. 97th Journées Luxembourgeoises de Géodynamique (JLG), 2-4 October 2013.
  6. d’Oreye, N., Arjona, A., S. Samsonov, Smets, B., Kervyn, F., Can InSAR contribute to volcano early warning systmes? IAVCEI Scientific Assembly. Kagoshima, Japan, 20-24 July 2013.
  7. d’Oreye, N., Arjona, A., M. Bagalwa, F. Kervyn, N. Mashagiro, JLG Pallero, J. Prieto, M. Syauswa, A permanent geodetic GNSS network to monitor ground deformation in the Virunga Volcanic province, Active Volcanism & Continental Rifting (AVCOR 2013) International conference. Gisenyi (Rwanda). 12-15, November 2013.
  8. N. d’Oreye, B., Smets, F. Kervyn, M., Kervyn, F. Albino, S., Arellano, A. Arjona, S. Carn,, J. Fernandez, B. Galle, P., Gonzalez, E. Head, J.L., Pallero, J. F. Prieto, S., Samsonov, D. Tedesco, K., Tiampo, C. Wauthier and the Goma Volcano Observatory team, Multidimensional high spatiotemporal resolution InSAR time series assist interdisciplinary space- and ground-based monitoring to reveal pre-eruptive signals at Nyamulagira volcano (North Kivu, D.R.C.), American Geophysical Union Fall Meeting, San Francisco, EE.UU., 9-13 December 2013.
  9. A. Arjona et al. Numerical modeling of volcanic ground deformation. XXII CEDYA (XI Congreso de Matemática Aplicada), Palma de Mallorca. 2011.
  10. A. Arjona et al. Numerical solutions of an elastic-­‐gravitational model by the finite element method. Nonlinear Models in Partial Differential Equations. An international congress on occasion of Jesús Ildefonso Díaz’s 60th birthday. Toledo. España. 2011.
  11. A. Arjona. Análisis Matemático y Numérico de Problemas en Vulcanología. Seminario de Ecuaciones Diferenciales y Análisis Numérico. Sevilla, España. 2011.
  12. A. Arjona et al. Deformation analysis employing the Coherent Pixel Technique and EVISAT and ERS images in Canary islands. 7th International Workshop on Advances in the Science and Applications of SAR Interferometry. European Space Agency (FRINGE’2009). Frascati, Italy. 2009.
  13. A. Arjona et al. On the applicability of an Advanced DInSar technique near Itoiz and Yesa reservoirs, Navarra, Spain. 7th International Workshop on Advances in the Science and Applications of SAR Interferometry. European Space Agency (FRINGE’2009). Frascati, Italy. 2009.
  14. A. Arjona et al. Geometric form of volcanoes with limited base. Congreso de Ecuaciones Diferenciales y Aplicaciones(CEDYA). Ciudad Real. 2009.
  15. Arjona, A et al. Application of Advance Radar Interferometry to study deformations nearby Itoiz and Yesa water reservoirs, Spain. European Geosciences Union, General Assembly 2009. Vienna, Austria. 2009.
  16. Arjona, A et al. Título: Surface displacements neart the Itoiz reservoir, Navarra, Spain. 2009 AGU Joint Assembly. Toronto, Canada. 2009.
  17. J. Fernández,P.J. González, A. Arjona, A.G. Camacho, J.F. Prieto, A. Seco, P. Tizzani, M. Manzo, R. Lanari, P. Blanco, J.J. Mallorquí. Geodetic volcano monitoring Research in Canary Islands: Recent results. 2009 AGU Joint Assembly, Toronto, Canada. 2009.
  18. Fernández, J., A. Arjona, J.F. Prieto, M.A. Santoyo, A. Seco, D. Monells, J.L.G. Pallero, E. Prieto, F. Luzón and J.J. Mallorqui. Application of CPT, an advanced DInSAR technique, to study surface displacement near Itoiz dam, Navarra, Spain. 95th Journées Luxembourgeoises de Géodynamique (JLG). 2009.
  19. J. Fernández, J. F. Prieto, P. J. González, A. Seco, G. Rodríguez-­‐Velasco, P. A. Perlock, A. Arjona, A. Aparicio, A. G. Camacho, J. B. Rundle, K. F. Tiampo, J. L. G. Pallero, S. Pospiech. DInSAR, GPS and Gravity Observation Results in La Palma, Canary Island. USEReST’08, 2nd Workshop on USE of Remote Sensing Techniques for Monitoring Volcanoes and Seismogeneic Areas. Naples, Italy. 2008.
  20. A. Arjona et al. Aplicación de la interferometría avanzada radar (DInSAR) a los estudios de riesgos geológicos en el entorno del embalse de Itoiz. VII Jornadas Internacionales de Aplicaciones Geomáticas en Ingeniería. Madrid. 2008.
  21. M.Santoyo, F. Luzón, J. Fernández, A. Arjona, J.L.G. Pallero, D. Monells, S. Duque, J. Mallorquí, Recent Surface Deformations At The Itoiz Reservoir Area, Northern. 3rd World Stress Map Conference, 15-­ 17.October 2008 in Potsdam. Alemania. 2008.
  22. A. Arjona et al. On The Mathematical Analysis Of An Viscoelastic Gravitational Layered Earth Model for Magmatic Intrusion: The Dynamic Case. XIII Escuela Francesa sobre Simulación Numérica en Física e Ingeniería. Facultad de Ciencias de la Universidad de Valladolid. 2008.
  23. Fernández, J.; González, P.J.; Pallero, J.L.G.; Arjona, A.; Prieto, J.F.; Seco, A.; Rodríguez-­‐Velasco, G.; Camacho, A.G.; Aparicio, A. Long term ground deformation in volcanic islands: Tenerife and La Palma, Canary Islands. New Challenges in Earth’s Dynamics-­‐Earth Tide Symposium 2008. Jena, Germany. 2008.
  24. A. G. Camacho, J. Fernández, P. González, J. B. Rundle, J. F. Prieto, A. Arjona. Structural results for La Palma Island using 3D gravimetric inversion. European Geosciences Union, General Assembly 2008. Vienna, Austria. 2008.
  25. Arjona, A., Mallorquí, J.J. , Fernández, J., Blanco, P. , Camacho, A.G. , Duque, S. , González, P.J. and Monells, D. Tenerife island deformation analysis in the 2003-­‐2006 period employing the Coherent Pixel Technique and ENVISAT SAR images. AGU, American Geophysical Union, Fall Meeting. San Francisco, CA, USA. 2007.
  26. A. Arjona, J. Fernández, A.G. Camacho, S. Samsonov, J.F. Prieto, P.J. González, J.J. Mallorquí, K.F. Tiampo, G. Rodríguez. Estudio de las deformaciones mediante Interferometría Radar de Satélite (InSAR) y GPS en la isla de Tenerife. VI Jornadas Internacionales de Aplicaciones Geomáticas en Ingeniería. Madrid, 27-­30 de noviembre, 2007.
  27. A. Arjona et al. Convergence to equilibrium for a hyperbolic/elliptic system modelling the elastic-­‐gravitational deformation of a layered Earth. Congreso de Ecuaciones Diferenciales y Aplicaciones(CEDYA). Sevilla. 2007.
  28. A. G. Camacho, J. Fernández, J. F. Prieto, P. González, J. B. Rundle, A. Arjona. Structural results for La Palma Island using 3D gravity inversion. 2nd Workshop on Deformation and Gravity Change: Indicators of Isostasy, Tectonics, Volcanism and Climate Change. International Association of Geodesy (IAG), Working Group ICCT2 on Dynamic theories of deformation and gravity fields. Casa de los Volcanes, Lanzarote, Canary Islands, Spain, 2007.
  29. A. Arjona et al. On The Mathematical Analysis Of An Elastic Gravitational Layered Earth Model.Seminarios Internacionales Complutense, Earth Sciences And Mathematics. Facultad De Cc.Matemáticas, UCM. 2006