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1. |
Quantitative methods for analyzing the roughness of the seafloor |
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Reviews of Geophysics,
Volume 23,
Issue 1,
1985,
Page 1-48
Christopher G. Fox,
Dennis E. Hayes,
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摘要:
The bathymetry of the world ocean has been mapped using a variety of acoustic sounding instruments and traditional contouring methods. Prior to this study, relatively few quantitative studies have been focused on the detailed morphology of the seafloor. The work of most investigators has generally dealt with the analysis of seafloor relief without regard to spatial frequency or concern for obvious morphologic anisotropies. A brief review of previous work is presented and is accompanied by an identification of the specific applications and limitations of those approaches. The availability of more precise digital sounding data coupled with the development of higher‐resolution sonar mapping instruments (e.g., DEEPTOW, SEAMARC) now make it possible to investigate quantitatively many important aspects of seafloor relief and the geological processes responsible for its formation. Typical bathymetric contour maps represent a low‐frequency deterministic model of the seafloor. To describe the higher‐frequency variability or roughness of the seafloor requires the development of an appropriate statistical method for generating a valid stochastic model. New methods are developed herein which allow valid statistical models of the variability of oceanic depths to be derived from existing digital bathymetric soundings. The smooth contoured surface (often preserved as a geographic grid of depths), when supplemented by such a roughness model, can provide an essentially complete statistical description of the relief. Statistical models of seafloor roughness are also valuable tools for predicting acoustic scattering and bottom loss and, in addition, contain a wealth of information for more comprehensive interpretations of deep‐sea, relief‐forming geological processes. To allow the variability of depths to be described as a function of scale (spatial frequency), the amplitude spectrum is employed as the fundamental statistic underlying the model. Since the validity of the amplitude spectrum depends upon the assumption of a statistically stationary sample space, a computer algorithm operating in the spatial domain was developed which delineates geographic provinces of limited statistical heterogeneity. Within each of these provinces, a spectral model is derived by fitting the amplitude estimates with one or two two‐parameter power law functions, using specialized regression techniques. The distribution of resultant model parameters is examined for a large test area adjacent to the coast of Oregon (42°–45°N, 130°–124°W) which includes several contrasting geologic environments. The distribution of roughness corresponds generally with the various physiographic provinces observed in the region. Within some provinces, additional complexities are apparent in the roughness model which cannot be inferred by simply studying the bathymetry. These patterns are related to a variety of geological processes operating in the region, such as the convergence of the continental margin and the presence of a propagating rift on the northern Gorda Rise. In contrast, a very large area of the continental margin off the east coast of the United States was found to have in common a single, distinct amplitude spectrum. This amplitude spectrum is almost identical to that found from the Tufts Abyssal Plain region off the west coast of the United States. Spectra from both of these areas can be clearly separated into two straight‐line segments of different slope. The two segments of these spectra are interpreted as reflecting two dominant relief‐forming processes, the higher‐frequency band representing a sedimentary regime and the lower‐frequency band representing an underlying tectonic/volcanogenic regime. In many cases, the calculated roughness statistics are not constant for data collected along different ship track directions; this is due to the anisotropic nature of the seafloor relief. A simple model is developed which describes the roughness statistics as a function of azimuth. The parameters of this model quantify the anistropy of the seafloor, allowing insight into the directionality of the corresponding relief‐forming processes and the physical meaning of the derived model statistical parameters. Finally, the model is used to successfully predict the roughness of a surface at scales much smaller than those resolvable by surface sonar systems. The model regression line (derived from a hull‐mounted sonar) is compared to data from deep‐towed sonars and bottom photographs. The amplitude of roughness is predicted to within half an order of magnitude over five decades of spatial frequency, and this prediction capability can probably be improved even further. The stochastic models presented also demonstrate the potential for closely approximating the full two‐dimensional nature of some areas of the seafloor, with only four statistical parameters. These parameters can be estimated from random ship track data, given a sufficient num
ISSN:8755-1209
DOI:10.1029/RG023i001p00001
年代:1985
数据来源: WILEY
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2. |
Acoustic properties of sediments: An update |
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Reviews of Geophysics,
Volume 23,
Issue 1,
1985,
Page 49-60
Loyd Hampton,
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摘要:
This paper will summarize our knowledge of the propagation of sound in marine sediments. This knowledge is important to a wide range of acoustic problems, extending from the high‐frequency applications of detection of objects buried in the bottom sediment to the very low frequency application characterizing the propagation of acoustic energy over hundreds of kilometers. In these applications the ocean bottom becomes an important part of the acoustic waveguide. The desirable goal of a complete theoretical understanding of propagation has not been achieved. However, recent measurements of acoustic attenuation in the frequency range of a few hundred hertz are almost an order of magnitude smaller than have previously been measured, and these results may now permit progress in a more complete characterization of the acoustic properties of sediments. (The research performed on this topic by the author under the guidance of R. Reid was published in 1967 (“Acoustic Properties of Sediments,”J. Acoust. Soc. Am., 42, 882–890, 1967). This paper will briefly review aspects of that work and trace the progress in this area of research since that publi
ISSN:8755-1209
DOI:10.1029/RG023i001p00049
年代:1985
数据来源: WILEY
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3. |
Mars: Thickness of the lithosphere from the tectonic response to volcanic loads |
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Reviews of Geophysics,
Volume 23,
Issue 1,
1985,
Page 61-92
Robert P. Comer,
Sean C. Solomon,
James W. Head,
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摘要:
We determine the thickness (or flexural rigidity) of the elastic lithosphere on Mars in the vicinity of large volcanic loads, including six volcanoes and the Isidis basin mascon. Starting from the hypothesis that graben concentric to each volcanic feature formed as a result of stresses induced by flexure of the lithosphere in response to loading, we relate predicted surface stresses to the range of radial distances between the graben and the load centers in order to derive local estimates of the elastic lithosphere thickness at the time of loading. The basic method involves the selection of graben of likely flexural origin and the calculation of vertical displacement and surface horizontal stresses produced by the loading and flexure of a shell or plate. Bounds on thickness are obtained from a formal inversion of graben positions as well as from a consideration of important time‐dependent effects, including viscoelastic relaxation, volcano growth, and lithospheric thickening. Assuming Young's modulus to be 1012dyn/cm², we find preferred values of elastic lithosphere thickness in the range 20 to 50 km (or flexural rigidities from 1030to 1031dyn cm) for regions surrounding Ascraeus Mons, Pavonis Mons, Arsia Mons, Alba Patera, and Elysium Mons. For the Isidis basin region the elastic lithosphere thickness must have exceeded 120 km at the time of graben formation; for Olympus Mons the absence of circumferential graben requires the elastic lithosphere to have been at least 150 km at the time of loading (these thicknesses correspond to a flexural rigidity greater than approximately 1032dyn cm). Because the derived lithospheric thicknesses do not show any relationship to the relative ages of the loads, we interpret the results as an indication of a pronounced local thinning of the lithosphere beneath the central regions of the Tharsis and Elysium volcanic provinc
ISSN:8755-1209
DOI:10.1029/RG023i001p00061
年代:1985
数据来源: WILEY
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4. |
Review of the critical ionization velocity effect in space |
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Reviews of Geophysics,
Volume 23,
Issue 1,
1985,
Page 93-104
Patrick T. Newell,
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摘要:
Laboratory experiments have shown under a variety of conditions that when a neutral gas passes through a magnetized plasma with a relative velocity perpendicular to the magnetic field that is greater than a critical velocity, anomalously high ionization of the neutrals occurs. The conditions under which the same effect is to be expected in space plasmas is still unclear. The experimental evidence for the occurrence of the critical ionization velocity effect in space is summarized, and various areas in which it has been proposed that the effect should be significant are discussed.
ISSN:8755-1209
DOI:10.1029/RG023i001p00093
年代:1985
数据来源: WILEY
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