Brittany A. Erickson

 

Contact:

berickson-at-pdx.edu

East Hall 308

(503) 725-3606


Fariborz Maseeh Department of Mathematics and Statistics,

Portland State University

Portland, OR 97201


My research focuses on developing computational methods for solving a wide range of partial differential equations describing Earth system processes. A large part of my work involves developing mathematical models for simulating the full earthquake cycle. These physics-based models account for highly varying temporal and spatial scales, geometric irregularities in fault surfaces, nonlinear friction laws, heterogeneous material properties and inelastic response of the solid Earth.


Related article in the Research and Strategic Partnerships Quarterly Review (page 22)


I am interested in advising students in related research problems. Contact me for more info.  To learn more about graduate studies in mathematics at Portland State University go here.



Publications:


Erickson, B. A., Dunham, E. M. and Khosravifar, A. (2017), A finite difference method for off-fault plasticity throughout the earthquake cycle,  Journal of the Mechanics and Physics of Solids, 109, doi: https://doi.org/10.1016/j.jmps.2017.08.002.   pdf.


Erickson, B. A. and Day, S. M. (2016), Bimaterial effects in an earthquake cycle model using rate-and-state friction,  Journal of Geophysical Research, Solid Earth, 121, doi: 10.1002/2015JB012470. pdf.


Sleep, N. and Erickson, B. A. (2014), Nonlinear attenuation of S-waves and Love waves within ambient rock, Geochemistry, Geophysics, Geosystems, doi:10.1002/2014GC005250.  Link to article


Erickson, B. A. and Nordström, J. (2014), Stable, high order accurate adaptive schemes for long time, highly intermittent geophysics problems, Journal of Computational and Applied Mathematics, 271, 328--338.


Erickson, B. A. and Dunham, E. M. (2014), An efficient numerical method for earthquake cycles in heterogeneous media: Alternating sub-basin and surface-rupturing events on faults crossing a sedimentary basin,  Journal of  Geophysical Research, doi:10.1002/2013JB010614.  Link to article


Nordström, J., Abbas, Q., Erickson, B. A. and Frenander, H. (2013), A flexible boundary procedure for hyperbolic problems: multiple penalty terms applied in a domain, Communications in Computational Physics, 16, 541--570. 


Erickson, B. A., Birnir, B. and Lavallée, D. (2011), Periodicity, chaos and localization in a Burridge-Knopoff model of an earthquake with rate-and-state friction, Geophysical Journal International, 187, 178--98.


Erickson, B. A., Birnir, B. and Lavallée, D. (2008), A model for aperiodicity in earthquakes, Nonlinear Processes in Geophysics, 15, 1--12, 2008.


Selected Presentations:

Erickson, B. A. and Dunham, E. M.: The Effects of Plasticity and the Evolution of Damage Zones in Earthquake Cycle Simulations, presented at the 2015 American Geophysical Union Fall Meeting, San Francisco, CA, Dec 14-18. pdf


Erickson, B. A. and Day, S. M.: A Provably Stable Finite-Difference Method for Earthquake Cycle Simulations within Subduction Zones, abstract 14-217 presented at 2014 Annual Meeting, SSA, Anchorage, AK, 30 April - 2 May. pdf


Erickson, B. A., Shi, Z. and Day, S. M.: The dependence of high-frequency characteristics of ground motion on rupture-model parameters, abstract S53B-2439 presented at 2013 Annual Meeting, AGU, San Francisco, CA, 9-13 Dec. pdf


Erickson, B. A. and Dunham, E. M.: An efficient numerical method for earthquake cycles in heterogeneous media: Alternating sub-basin and surface-rupturing events on faults crossing a sedimentary basin, abstract 069 presented at 2013 Annual Meeting, SCEC, Palm Springs, CA, 8-11 Sept.


Erickson, B. A. and Nordström, J..: Stable, high order accurate adaptive schemes for long time, highly intermittent geophysics problems, abstract presented at 2013 Annual Meeting, South African Symposium on Numerical and Applied Mathematics, Stellenbosch, Western Cape, South Africa, 3-5 April.


Erickson, B. A. and Dunham, E. M.: The effects of off-fault plasticity in earthquake cycle simulations, abstract T34D-06 presented at 2012 Annual Meeting, AGU, San Francisco, CA, 3-7 Dec.


Erickson, B. A. and Dunham, E. M.: A method for earthquake cycle simulations, abstract presented at 2012 AWM workshop in conjunction with the SIAM Annual Meeting, Minneapolis, MN, 9-13 Jan.