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Source modeling of microbarom signals generated by nonlinear ocean surface wave interactions. Milton Garces, Claus Hetzer, and Mark Willis University of Hawaii, Manoa. 2003 Infrasound Technology Workshop, San Diego, California. What are microbaroms, and why we care?.
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Source modeling of microbarom signals generated by nonlinear ocean surface wave interactions Milton Garces, Claus Hetzer, and Mark Willis University of Hawaii, Manoa 2003 Infrasound Technology Workshop, San Diego, California
What are microbaroms, and why we care? • Microbaroms signals, like microseisms, are believed to be created by the nonlinear interaction of ocean surface waves • The microbarom peak near 0.2 Hz is right on the detection frequency band for 1 kt explosions • IMS arrays with large apertures (> 1 km) were supposed to render microbaroms incoherent, but distinct coherent bursts may still be detected • Microbaroms may be generated in open ocean or by reflections with coastline and islands, and are prominent on island stations • Theoretical energy peak of microbarom radiation is near vertical, but this energy is lost • Sufficient energy is radiated near the horizontal, where most microbarom arrivals are detected • Study microbarom statistics at I59US and global distribution of microbarom signal levels
Microbaroms: 2002 N Swells, Aleutians Trade and S Swells
Theory: Arendt and Fritz, 2000 • Assumptions: • Wave height small relative to wavelength of ocean wave • Distance greater than acoustic wavelength • Solution: • For a prescribed surface wave displacement g(x,t) and vertical velocity uz(x,t), the acoustic pressure is:
Theory • Consider a ocean surface wave displacement spectrum A, The radiated acoustic spectrum would be
Theory • Vertical acoustic wavenumber and a function of the ocean wave and acoustic wavenumbers
Wave Watch 3 (WW3) • WAVEWATCH III (Tolman 1997, 1999a) is a third generation wave model developed at NOAA/NCEP in the spirit of the WAM model (WAMDIG 1988, Komen et al. 1994). It is a further development of the model WAVEWATCH I, as developed at Delft University of Technology (Tolman 1989, 1991) and WAVEWATCH II, developed at NASA, Goddard Space Flight Center (e.g., Tolman 1992). • WAVEWATCH III solves the spectral action density balance equation for wavenumber-direction spectra. The implicit assumption of these equations is that the medium (depth and current) as well as the wave field vary on time and space scales that are much larger than the corresponding scales of a single wave. Furthermore, the physics included in the model do not cover conditions where the waves are severely depth-limited. This implies that the model can generally by applied on spatial scales (grid increments) larger than 1 to 10 km, and outside the surf zone. http://polar.ncep.noaa.gov/waves/wavewatch/
Wave Watch 3 (WW3) • Surface winds and dominant period
Wave Watch 3 (WW3) • Significant wave height
Wave Watch 3 (WW3) • Significant wave height
Evaluating the Theoretical Model The Wave Watch 3 model outputs the variance density , F, of the surface wave field as a function of frequency, f, and propagation direction,q. The variance density can be integrated over angle and frequency to provide the total wave energy E, The peak source pressure occurs when k = -k’, w = w’ For preliminary amplitude estimates, we use Whitaker’s relationship
Microbaroms: January 21-28, 2003, 90s window, ½ second consistency, 0.1-0.5 Hz
Microbaroms: February 22, 2003, 60s window, 1 second consistency, 0.1-0.7 Hz
Infrasonic Source: February 22, 2003 Geometric frequency steps (1.1*f) from 0.08 to 0.8 Hz, dynamic range of 90 db
REB Location: February 21-23, 2003, no seismic contributions
Conclusions and future work • All IMS infrasound arrays, and particularly those close to the ocean, are susceptible to microbaroms • Microbaroms may be generated in the open ocean • Obtained surface wave spectrum from Wave Watch 3 global model • Developed an algorithm to evaluate a theoretical source pressure field induced by the open ocean surface wave field • Used simple relationship to estimate global infrasonic field • Need to add atmospheric specifications, attenuation losses, and direction of arrival information • Need to incorporate better propagation algorithms to provide time dependent and frequency dependent estimates of the propagating infrasonic field • Need to add reflections with coastline and islands – mesoscale problem, site dependent and not trivial • Approach can be adapted to microseisms