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Full-Text Articles in Physical Sciences and Mathematics
Spring-Block Models Of Earthquake Dynamics, Ashley E. Mccall
Spring-Block Models Of Earthquake Dynamics, Ashley E. Mccall
All Graduate Theses, Dissertations, and Other Capstone Projects
In this paper, the dynamics of spring-block models are studied. A brief overview of the history of spring-block models relating to earthquakes is presented, along with the development of friction laws. Several mathematical topics relating to dynamical systems are also discussed. We consider two spring-block models; one with Dieterich-Ruina rate and state dependent friction and another with a modified Dieterich-Ruina style friction. For each system, the qualitative behavior and numerical solutions are presented. In the first case, we find that the system undergoes a Hopf bifurcation from a stationary solution to a periodic orbit, and eventually transitions to chaos. In …
Trap Efficiency Of A Silted Prairie Reservoir: Rapidan Reservoir, Blue Earth County, Minnesota, Katherine Brosch Rassmussen
Trap Efficiency Of A Silted Prairie Reservoir: Rapidan Reservoir, Blue Earth County, Minnesota, Katherine Brosch Rassmussen
All Graduate Theses, Dissertations, and Other Capstone Projects
Rapidan Dam and Reservoir are located along the Blue Earth River south of Mankato, Minnesota. The dam was constructed in 1911 as a source of hydroelectric power to supplement the surroundings communities. Currently, the reservoir is heavily silted and provides little hydroelectric benefit while proving costly to maintain. This study (1) defines the sedimentary, geomorphic, stream flow and suspended load characteristics of the reservoir for 2008-2009 and (2) compares these parameters with those available from 1985 (23 years prior). Stream gauging and sediment sampling took place in 2008 and 2009 at three monitoring locations (two upstream and one downstream of …