But might a narrow upwelling zone be hidden beneath the resolution limits of the data? "The shortest-period waves from distant seismic events recorded in the experiment corresponded to a minimum wavelength of about 25 kilometers, which might be greater than the expected width of a dynamic upwelling zone," Forsyth said. "Such a zone might be so narrow that we could not detect it."
A computational exploration of this possibility became a dissertation topic for one of Forsyth's graduate students, Shu-Huei Hung, now a postdoctoral researcher at Princeton University. "We used the IBM SP at SDSC to carry out numerical simulations of finite-frequency seismic waves propagating through postulated heterogeneities that corresponded to the narrow upwellings of the dynamic models," she said.
Her multi-domain pseudospectral model for 3-D anisotropic seismic waveform modeling is designed to run on a high-performance parallel computer. "Time constraints on the IBM SP at Brown made it advantageous for us to use the SP at SDSC, which has higher-performance nodes," Hung said. The model solves acoustic and elastic wave equations formulated by velocity and stress for fluid layers and solid spaces, respectively. Wavefields and the structure are described by Fourier series in the horizontal directions and Chebyshev polynomials in the vertical direction.
"Seismic wave propagation in structures that are heterogeneous and contain anisotropies is complicated," Hung said, "but our method accounts for and detects some fairly subtle effects." These include diffraction, shear wave splitting, wavefront healing (which can mask the signals of heterogeneities), and anisotropies caused by the preferred orientations of the crystalline structure of different kinds of rock. "This has only become possible in the last few years with the advent of high-performance parallel machines," Hung said.
Hung's model represents a hypothetical upwelling zone through which a seismic disturbance propagates (Figure 3). The model output demonstrates the capacity of the program, given data like that acquired in the MELT Experiment, to detect a very narrow (four kilometers across) low-velocity structure running from 10 to 60 kilometers beneath the sea floor (Figure 4). "The synthetic calculations show that diffraction and wavefront healing do not hide the travel-time delay signature of a narrow, vertical, low-velocity channel," Hung said. "Any anomaly this large or larger should have been detected in the EPR data, so our modeling puts some tough constraints on the dynamic hypothesis."
"While it is possible that the threshold detection limit of the MELT Experiment is just large enough to allow the existence of a narrow upwelling zone beneath the ridge axis," Forsyth said, "such a zone, while marginally possible, seems physically improbable to us on the basis of the modeling work." --MM