A North-South Convergent Belt Along the Northern Margin of the Los Angeles Metropolis from Geodes
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Continetal Tectonics Geodesy San Andreas↗
Engineering topics
Lyzenga, G. A.
Publications and source records attributed to Lyzenga, G. A..
GPS Observations of Fault Afterslip and Upper Crustal Deformation Following the Northridge Earthquake
Global Positioning System (GPS) observations indicate that significant aseismic deformation occurred in the year following the January 17, 1994 Northridge earthquake.
GPS↗
Concurrent Finite-Element Analysis On Hypercube Computers
Improved approach to execution of finite-element codes on hypercube and similar concurrent data processors increases efficiency of computation for many different types of problems. Based on flexible general model of computation on, and communication among, large-node parallel processors. Hybrid combining direct methods within subdomains and preconditioned-conjugate-gradient (PCG) iteration on remaining boundary system to obtain method of solution both robust and efficient. Preserves general structure and function of conventional sequential finite-element-method software. Generalized to both distributed- and shared-memory multicomputers, eliminating degree of machine specificity restricting general usefulness.
Lyzenga, G. A.↗
Distribution of relative plate motion along the Pacific-North American plate boundary determined from mobile VLBI measurements
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Kroger, P. M.↗
Solving Finite-Element Problems on a Concurrent Processor
By use of "conjugate gradients" technique, concurrent efficiency greater than 90 percent. Algorithm applies method of conjugate gradients to iterative solution of finite-element problems on concurrent processor. With algorithm, iteration rates nearly proportional to number of processors. For sufficiently large problems, fraction of proportional speedup achieved, called concurrent efficiency, exceeds 90 percent. Results indicate future application of this and related algorithms to large finite-element problems depend primarily upon applicability of iteratiave techniques, not upon issues of concurrency or efficiency.
Lyzenga, G. A.↗
North American-Pacific relative plate motion in southern California from interferometry
VLBI measurements of baselines crossing the San Andreas fault zone in southern California have provided observational constraints on rates of elastic tectonic strain accumulation. The single site located near this fault (the JPL site) moves in a direction concordant with the Pacific plate motion vector but at approximately half the net rate relative to North America. This motion agrees approximately in amount with geologically determined displacement rates on the San Andreas fault alone but not with the local strike of the fault. When considered together with complementary geodetic data, these results suggest a complex relation between the short-term accumulation of elastic strain and its permanent accommodation on existing faults.
Lyzenga, G. A.↗
Stress patterns in an interplate shear zone - An effective anisotropic model and implications for the Transverse Ranges, California
The pervasive Quaternary strike-slip (or wrench) structure that occurs in southern California is analyzed by solving a series of planar, linear elastic boundary value problems of tractional type that assume pure shear forces at infinity. It is concluded that the cross-cutting tectonic fabric of the Transverse Ranges in southern California causes the Ranges to act as a stress concentrator. In addition, it is found that rigid rotation of the Transverse Ranges is mechanically supported by an asymmetric distribution of stress and elastic strain encircling it. It is noted that for Quaternary tectonic orientation, a clockwise sense to this rotation is expected.
Ivins, E. R.↗
Finite elements and the method of conjugate gradients on a concurrent processor
An algorithm for the iterative solution of finite element problems on a concurrent processor is presented. The method of conjugate gradients is used to solve the system of matrix equations, which is distributed among the processors of a MIMD computer according to an element-based spatial decomposition. This algorithm is implemented in a two-dimensional elastostatics program on the Caltech Hypercube concurrent processor. The results of tests on up to 32 processors show nearly linear concurrent speedup, with efficiencies over 90 percent for sufficiently large problems.
Lyzenga, G. A.↗
Modeling of the surface static displacements and fault plane slip for the 1979 Imperial Valley earthquake
Three-dimensional finite element modeling techniques are used to synthesize geodetic and seismological results for 1979 Imperial Valley earthquake. The strategy pursued consists of two principal steps. In the first step, the seismologically-derived coseismic fault slip is taken as a function of position in the fault plane and is applied directly to the three-dimensional dislocation model. In the second step, a physical model of stresses and constitutive parameters is perturbed so as to reproduce the observed fault slip. Hence, the principal features of the coseismic slip pattern are explained by a stress-driven fault model in which: (1) a spatially unresolved asperity is found equivalent to a stress drop of 18 MPa averaged over an area of 15 sq km, and (2) driving stress is essentially absent on the fault segment overlapping the 1940 earthquake rupture zone.
Slade, M. A.↗
Finite elements and the method of conjugate gradients on a concurrent processor
An algorithm for the iterative solution of finite element problems on a concurrent processor is presented. The method of conjugate gradients is used to solve the system of matrix equations, which is distributed among the processors of a MIMD computer according to an element-based spatial decomposition. This algorithm is implemented in a two-dimensional elastostatics program on the Caltech Hypercube concurrent processor. The results of tests on up to 32 processors show nearly linear concurrent speedup, with efficiencies over 90% for sufficiently large problems.
Lyzenga, G. A.↗
Two-dimensional Finite Element Modeling for Modeling Tectonic Stress and Strain
Techniques of finite element analysis in two dimensional plane strain were applied to problems of geophysics and tectonics. More specifically, the flexibility of the finite element method was employed to address problems involving geological complexity and fault interactions. The modeling of effective anisotropy in material elastic properties proved useful in describing the deformation of faulted crustal blocks. The applications of this modeling work to problems of actual tectonics in southern California was explored. Preliminary models show encouraging agreement with measured tectonic strain in this region, and modeling work was done to gain an understanding of the stress state in a locked fault region with future seismic potential.
Lyzenga, G. A.↗
Shock temperatures of SiO2 and their geophysical implications
High pressure shock state temperatures of SiO2 were measured in specimens of single crystal alpha-quartz and fused quartz. Projectile impact and pyrometry techniques were employed to impart pressures in the 60-140 GPa range. Shock-induced phase transformations were observed near 70 and 50 GPa along the alpha- and fused-quartz Hugoniots. It is suggested that the transformation consists of melting of the shock-synthesized stishovite, with melting delayed by the superheating of the crystalline phase. Details of the stishovite-liquid phase boundaries have been determined, including stishovite melting at 4500 K under 70 GPa, with the melting accompanied by a relative volume change of about 2.7% and a latent heat of fusion of about 2.4 MJ/kg. At 100 GPa, an approximate limit of 3500 K for the melting of SiO2 is indicated for solid mantle mineral assemblages, such as the earth's mantle
Lyzenga, G. A.↗