Submitted for publication
Kawai, K., N. Takeuchi, and R.J. Geller, Feasibility of inversion
of seismic waveforms for local structure of D",
Geophys. Res. Lett., submitted.
Hirabayashi, N ., R.J. Geller, and H. Mizutani, Superiority of optimally accurate schemes for numerical
calculation of synthetic seismograms: 1-D examples,
Geophys. J. Int., submitted. [PDF]
Geller, R.J., H. Mizutani, and N. Hirabayashi, Existence of a second range of stability of optimally accurate
finite-difference schemes for numerically solving the wave equation,
J. Comp. Physics., submitted. [PDF]
Geller, R.J., N. Hirabayashi, and H. Mizutani, A comparison of staggered-grid, conventional
one-step, and optimally accurate finite-difference
schemes for computing synthetic seismograms,
Geophysics, submitted. [PDF]
Published papers with downloadable reprints
Kawai, K., N. Takeuchi, and R.J. Geller, Complete synthetic seismograms up
to 2 Hz for transversely isotropic spherically symmetric media, Geophys.
J. Int., 164, 411-424, 2006. [PDF]
Takeuchi, N., and R.J. Geller, Accurate numerical methods for solving the elastic
equation of motion for arbitrary source locations, Geophys. J. Int.,
154, 852-866, 2003. [PDF]
Geller, R.J., T. Hara, Geophysical aspects of very long baseline neutrino experiments,
Nucl. Inst. Meth. Phys. Res. A, 503, 187-191, 2003. [PDF]
Pham, V.N., and R.J. Geller, Comment on "Signature of pending earthquake
from electromagnetic anomalies'', Geophys. Res. Lett., 29, doi:10.1029/2002GL015328, 2002. [PDF]
Hara, T., and R.J. Geller, Simultaneous waveform inversion for three-dimensional
Earth structure and earthquake source parameters considering a wide range of
modal coupling, Geophys. J. Int., 142, 539-550, 2000. [PDF]
Takeuchi, N., and R.J. Geller, Optimally accurate second order time-domain
finite difference scheme for computing synthetic seismograms in 2-D and 3-D
media, Phys. Earth Planet. Int., 119, 99-131, 2000. [PDF]
Mizutani, H., N. Takeuchi, and R.J. Geller, Comparison of accuracy and efficiency
of time-domain schemes for calculating synthetic seismograms, Phys. Earth
Planet. Int., 119, 75-97, 2000. [PDF]
Takeuchi, N., R.J. Geller, and P.R. Cummins, Complete synthetic seismograms
for 3-D heterogeneous Earth models computed using modified DSM operators and
their applicability to inversion for Earth structure, Phys. Earth Planet.
Int., 119, 25-36, 2000 [PDF]
Igel, H., N. Takeuchi, R.J. Geller, C. Megnin, H.P. Bunge, E. Clevede, J. Dalkolmo,
and B. Romanowicz, The COSY Project: verification of global seismic modeling
algorithms, Phys. Earth Planet. Int., 119, 3-23, 2000. [PDF]
Geller, R.J., and N. Takeuchi, Optimally accurate second order time domain
finite difference scheme for the elastic equation of motion, Geophys. J.
Int., 135, 48-62, 1998. [PDF]
Cummins, P.R., N. Takeuchi, and R.J. Geller, Computation of complete synthetic
seismograms for laterally heterogeneous models using the Direct Solution Method,
Geophys. J. Int., 130, 1-16, 1997. [PDF]
Takeuchi, N., R.J. Geller, and P.R. Cummins, Highly accurate P-SV complete
synthetic seismograms using modified DSM operators, Geophys. Res. Lett.,
23, 1175-1178, 1996. [PDF]
Geller, R.J., and N. Takeuchi, A new method for computing highly accurate DSM
synthetic seismograms, Geophys. J. Int., 123, 449-470, 1995. [PDF]
Cummins, P.R., R.J. Geller, T. Hatori, and N. Takeuchi, DSM complete synthetic
seismograms: SH, spherically symmetric, case, Geophys. Res. Lett., 21,
533-536, 1994. [PDF]
Cummins, P.R., R.J. Geller, and N. Takeuchi, DSM complete synthetic seismograms:
P-SV, spherically symmetric, case, Geophys. Res. Lett., 21, 1663-1666,
1994. [PDF]
Published papers in refereed journals
(from 1974 to 2000)
- N. Takeuchi, R. J. Geller and P.R. Cummins: "Complete synthetic seismograms
for 3-D heterogeneous Earth models computed using modifed DSM operators and
their applicability to inversion for Earth structure," Phys. Earth Planet.
Int., 119 (2000) 25-36.
- N. Takeuchi and R.J. Geller: "Optimally accurate second order time-domain
finite difference scheme for computing synthetic seismograms in 2-D and 3-D
media," Phys. Earth Planet. Int., 119 (2000) 99-131.
- H. Mizutani, R.J. Geller N. Takeuchi: "Comparison of accuracy and efficiency
of time-domain schemes for calculating synthetic seismograms," Phys.
Earth Planet. Int., 119 (2000) 75-97.
- H. Igel, N. Takeuchi, R.J. Geller, C. Megnin, H.P. Bunge, E. Clevede, J.
Dalkolmo, and B. Romanowicz: "The COSY Project: verification of global
seismic modeling algorithms," Phys Earth Planet. Int., 199 (2000) 3-23.
- T. Hara and R.J. Geller: "Simultaneous waveform inversion for 3-D Earth
structure and earthquake source parameters considering a wide range of modal
coupling," Geophys. J. Int., 142 (2000) 539-550.
- R.J. Geller and N. Takeuchi: "Optimally accurate second order time
domain finite difference scheme for the elastic equation of motion: 1-D case,"
Geophys. J. Int., 135 (1998) 48-62.
- P.R. Cummins, N. Takeuchi and R.J. Geller: "Computation of complete
synthetic seismograms for laterally heterogeneous models using the Direct
Solution Method," Geophys. J. Int., 130 (1997) 1-16.
- N. Takeuchi, R.J. Geller and P.R. Cummins: "Highly accurate P-SV complete
synthetic seismograms using modified DSM operators," Geophys. Res. Lett.,
23 (1996) 1175-1178.
- R.J. Geller and T. Hatori: "DSM synthetic seismograms using analytic
trial functions: Plane-layered, isotropic, case," Geophys. J. Int., 120
(1995) 163-172.
- R.J. Geller and N. Takeuchi: "A new method for computing highly accurate
DSM synthetic seismograms," Geophys. J. Int., 123 (1995) 449-470.
- R.J. Geller and T. Ohminato: "Computation of synthetic seismograms
and their partial derivatives for heterogeneous media with arbitrary natural
boundary conditions using the Direct Solution Method," Geophys. J. Int.,
116 (1994) 421-446.
- T. Hara and R.J. Geller: "Anomalously large near-field Rayleigh waves
excited by the 1992 Landers, California, earthquake," Bull. Seismol.
Soc. Am., 84 (1994) 751-760.
- P.R. Cummins, R.J. Geller, T. Hatori and N. Takeuchi: "DSM complete
synthetic seismograms: SH, spherically symmetric, case," Geophys. Res.
Lett., 21 (1994) 533-536.
- P.R. Cummins, R.J. Geller and N. Takeuchi: "DSM complete synthetic
seismograms: P-SV, spherically symmetric, case," Geophys. Res. Lett.,
21 (1994) 1663-1666.
- T. Hara and R.J. Geller: "On the geological origin of long wavelength
lateral heterogeneity in the mid-depth range of the upper mantle," Geophys.
Res. Lett., 21 (1994) 907-910.
- T. Hara, S. Tsuboi and R.J. Geller: "Inversion for laterally heterogeneous
upper mantle S-wave velocity structure using iterative waveform inversion,"
Geophys. J. Int., 115 (1993) 667-698.
- R.J. Geller and T. Hara: "Two efficient algorithms for iterative linearized
inversion of seismic waveform data," Geophys. J. Int., 115 (1993) 699-710.
- T. Hara, S. Tsuboi and R.J. Geller: "Laterally heterogeneous upper
mantle S-wave velocity structure obtained by iterative linearized waveform
inversion," Proc. Japan Acad., 68B (1992) 155-160.
- T. Hara, S. Tsuboi and R.J. Geller: "Inversion for laterally heterogeneous
earth structure using a laterally heterogeneous starting model: preliminary
results," Geophys. J. Int., 104 (1991) 523-540.
- R.J. Geller: "Comment ongThe gravito-elastodynamics of a pre-stressed
elastic earth," Geophys. J. Int., 106 (1991) 499-503.
- R.J. Geller, T. Hara and S. Tsuboi: "On the equivalence of two methods
for computing partial derivatives of seismic waveforms," Geophys. J.
Int., 100 (1990) 155-158.
- R.J. Geller, T. Hara and S. Tsuboi: "On the equivalence of two methods
for computing partial derivatives of seismic waveforms. II - Laterally homogeneous
initial model," Geophys. J. Int., 102 (1990) 499-502.
- R.J. Geller: "Reply," J. Phys. Earth , 38 (1990) 187-188.
- S. Tsuboi and R.J. Geller: "Coupling between the multiplets of laterally
heterogeneous earth models," Geophys. J. Int., 96 (1989) 371-379.
- R.J. Geller: "Elastodynamics in a laterally heterogeneous, self-gravitating
body," Geophys. J., 94 (1988) 271-283.
- R.J. Geller: "On the derivation of the elastic equation of motion,"
J. Phys. Earth, 36 (1988) 201-228.
- S.P. Morris, R.J. Geller, H. Kawakatsu and S. Tsuboi: "Variational
free oscillation computations for three laterally heterogeneous earth models,"
Phys. Earth Planet. Int., 47 (1987) 288-318.
- S. Tsuboi and R.J. Geller: "Partial derivatives of synthetic seismograms
for a laterally heterogeneous earth model," Geophys. Res. Lett., 14 (1987)
832-835.
- R.J. Geller, R. M. Noack and A. L. Fetter: "Normal mode solutions for
absorbing boundary conditions," Geophys. Res. Lett., 12 (1985) 145-148.
- S. Tsuboi, R.J. Geller and S. P. Morris: "Partial derivatives of the
eigenfrequencies of a laterally heterogeneous earth model," Geophys.
Res. Lett., 12 (1985) 817-820.
- A.J. Michael and R.J. Geller: "Linear moment tensor inversion for shallow
thrust earthquakes combining first-motion and surface wave data," J.
Geophys. Res., 89 (1984) 1889-1897.
- J.P. Stefani, R.J. Geller and G. C. Kroeger: "A direct measurement
of the distance between a hypocenter in a Benioff zone and the slab-mantle
contact," J. Geophys. Res., 87 (1982) 323-328.
- S.C. Wang, K.C. McNally and R.J. Geller: "Strain release along the
Middle America trench, Mexico," Geophys. Res. Lett., 9 (1982) 182-185.
- S.P.Morris and R.J. Geller: "A variational calculation of the toroidal
modes of a simple laterally heterogeneous model," Bull. Seismol. Soc.
Am., 72 (1982) 1155-1166.
- N.H. Sleep, R.J. Geller and S. Stein: "A constraint on the earth's
lateral heterogeneity from the scattering of spheroidal mode Q-1
measurements," Bull. Seismol. Soc. Am., 71 (1981) 183-197.
- S. Stein, J.M. Mills and R.J. Geller: "Q-1
models from data space inversion of fundamental spheroidal mode attenuation
measurements," in 'Anelasticity in the Earth', ed. F. Stacey et al.,
Geodynamics Series 4, American Geophysical Union (1981) 39-53.
- M.A. Spieth, D.P. Hill and R.J. Geller: "Crustal structure in the Northwestern
foothills of the Sierra Nevada from two seismic refraction experiments,"
Bull. Seismol. Soc. Am., 71 (1981) 1075-1087.
- H. Kawakatsu and R.J. Geller: "A new iterative method for finding the
normal modes of a laterally heterogeneous body," Geophys. Res. Lett.,
8 (1981) 1195-1197.
- R.J. Geller and C.S. Mueller: "Four similar earthquakes in central
California," Geophys. Res. Lett., 7 (1980) 821-824.
- E.A. Okal and R.J. Geller: "On the observability of isotropic seismic
sources: the 1970 Colombian earthquake," Phys. Earth Planet. Inter.,
18 (1979) 176-196.
- E.A. Okal and R.J. Geller: "Determination of shear wave velocity at
the base of the mantle from profiles of diffracted SH waves," Bull. Seismol.
Soc. Am., 69 (1979) 1039-1053.
- S.C. Wang, R.J. Geller, S. Stein and B. Taylor: "An intraplate thrust
earthquake in the South China Sea," J. Geophys. Res., 84 (1979) 5627-5631.
- S. Stein, N. H. Sleep, R.J. Geller, S.C. Wang and G. C. Kroeger: "Earthquakes
along the passive margin of eastern Canada," Geophys. Res. Lett., 6 (1979)
537-540.
- N.H. Sleep, S. Stein, R.J. Geller and R. G. Gordon: "Comment on ``The
use of minimum dissipation principle in tectonophysics," Earth Planet.
Sci. Lett., 45 (1979) 218-220.
- R.J. Geller and S. Stein: "Time domain measurements of attenuation
of fundamental spheroidal modes 0S6
- 0S28 for the 1977 Indonesian
earthquake," Bull. Seismol. Soc. Am., 69 (1979) 1671-1691.
- R.J. Geller, G.A. Frazier and M. W. McCann Jr.: "Dynamic finite element
modeling of dislocations in a laterally heterogeneous crust," J. Phys.
Earth, 27 (1979) 395-407.
- R.J. Geller, and S. Stein: "Normal modes of a laterally heterogeneous
body: a one dimensional example," Bull. Seismol. Soc. Am., 68 (1978)
103-116.
- S. Stein, and R.J. Geller: "Time domain observations and synthesis
of split spheroidal and torsional free oscillations of the 1960 Chilean earthquake:
Preliminary results," Bull. Seismol. Soc. Am., 68 (1978) 325-332.
- W.F. Miller, R.J. Geller and S. Stein: "Use of a bubble tiltmeter as
a horizontal seismometer," Geophys. J. R. Astron. Soc., 54 (1978) 661-668.
- S. Stein and R.J. Geller: "Attenuation measurements of split normal
modes for the 1960 Chilean and 1964 Alaskan earthquakes," Bull. Seismol.
Soc. Am., 68 (1978) 1595-1611.
- R.J. Geller, H. Kanamori and K. Abe: "Addenda and corrections togMagnitude
of great shallow earthquakes from 1904 to 1952," Bull. Seismol. Soc.
Am., 68 (1978) 1763-1764.
- R.J. Geller and H. Kanamori: "Magnitudes of great shallow earthquakes
from 1904 to 1952," Bull. Seismol. Soc. Am., 67 (1977) 587-598.
- R.J. Geller and S. Stein: "Split free oscillation amplitudes for the
1960 Chilean and 1964 Alaskan earthquakes," Bull. Seismol. Soc. Am.,
67 (1977) 651-660.
- S. Stein, and R.J. Geller: "Amplitudes of the split normal modes of
a rotating elliptical earth," J. Phys. Earth, 25 (1977) 117-142.
- R.J. Geller: "Scaling relations for earthquake source parameters and
magnitudes," Bull. Seismol. Soc. Am., 66 (1976) 1501-1523.
- R.J. Geller: "Body force equivalents for seismic stress drop sources,"
Bull. Seismol. Soc. Am., 66 (1976) 1801-1804.
- R.J. Geller: "Representation theorems for an infinite shear fault,"
Geophys. J. R. Astr. Soc., 39 (1974) 123-131.
- R.J. Geller: "Comment ongEvidence of precursive compression for two
deep earthquakes," Nature, 252 (1974) 28-29.