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  • 11
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 100 (1990), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: Erosional landscapes are generally scale invariant and fractal. Spectral studies provide quantitative confirmation of this statement. Linear theories of erosion will not generate scale-invariant topography. In order to explain the fractal behaviour of landscapes we have introduced a modified Fourier series that is the basis for a renormalization approach. We have introduced a non-linear dynamical model for the decay of the modified Fourier series coefficients that yield a fractal spectra. We argue that a physical basis for our approach is that a fractal (or nearly fractal) distribution of storms (floods) continually renews erosional features on all scales.
    Type of Medium: Electronic Resource
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  • 12
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Geophysical journal international 103 (1990), S. 0 
    ISSN: 1365-246X
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Geosciences
    Notes: The problem of an expansion wave propagating into a saturated magma is solved and used as a model of a vulcanian eruption. In our model for an explosive eruption we assume that a drop in pressure leads to the exsolution of magmatic volatiles. Initially the exsolved vapours create bubbles in the magma. We model the subsequent part of the exsolution process in which a foam is created; this is believed to be an essential feature of explosive volcanic eruptions. The foam also has the advantage that it can be modelled as a mixture or ‘pseudo-gas’ without slippage between the phases. Eventually the foam breaks up and becomes volcanic ash. Assuming that the exsolution of vapour is given by Henry's law, that the temperature is constant, that the magma and vapour have equal velocities, and neglecting wall friction and gravitational effects, an analytic solution for pressure, velocity, and vapour fraction is obtained for the expanding mixture in a constant area duct. The exit velocity u for the mixture is u= (ø0RT0)1/2In(P0/p), where ø0 is the original mass fraction of dissolved vapour, R is the gas constant for the vapour, T0 the constant temperature, and p0/p the pressure ratio across the expansion. With ø0= 1 per cent, T0= 1000°K, and p0/p= 100 we find u0= 300ms-1, consistent with observations for vulcanian eruptions.
    Type of Medium: Electronic Resource
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  • 13
    Electronic Resource
    Electronic Resource
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Earth and Planetary Sciences 10 (1982), S. 397-408 
    ISSN: 0084-6597
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Geosciences , Physics
    Type of Medium: Electronic Resource
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  • 14
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    Unknown
    Madrid : Periodicals Archive Online (PAO)
    Estudios geográficos. 56:218 (1995:enero/marzo) 179 
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  • 15
    Electronic Resource
    Electronic Resource
    Springer
    Stochastic environmental research and risk assessment 7 (1993), S. 33-40 
    ISSN: 1436-3259
    Keywords: Fractal ; flood-frequency ; scale-invariant
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract In order to study historical flood-frequency records we plot the log of the number of floods on a river per unit time in which the peak discharge exceeds a specified value against the log of that value. For ten benchmark stations we find good correlations with scale-invariant (fractal) statistics. We suggest that the underlying physical processes associated with the generation of floods are sufficiently scale invariant over time scales from one to one hundred years that they provide a rational basis for the application of scale-invariant statistics. Our results fall within the range of flood-frequency estimates made by other statistical techniques. We propose that the ratio of the ten-year peak discharge to the one-year peak discharge β is a quantitative measure of flood potential. With scale invariance β is also the ratio of the one-hundred year flood to the ten-year flood. We find that the values of β for ten stations on rivers throughout the country range from 2.04 to 8.11 and find strong regional variations that can be correlated in terms of climate. Our results are consistent with the observed fractal statistics in sedimentary sections. We have also carried out R/S analyses for the ten stations and have obtained values of the Hurst exponent. We find that the Hurst exponent cannot be used for flood-frequency forecasting.
    Type of Medium: Electronic Resource
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  • 16
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 313 (1985), S. 671-672 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] As a simple example of a fractal tree we consider the two-dimensional structure shown in Fig. 1 and its failure under the application of a vertical load V. Without any failure, the load on each leg of order n is Vn = V/2n cos q/2. We hypothesize that the legs have a statistical distribution of ...
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  • 17
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 305 (1983), S. 278-279 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] THE nature of mantle heterogeneity and its geodynamic significance was the subject of a recent symposium* catalysed by the presentation of the first on-shore results of IPOD Leg 82 of the Glomar Challenger drilling. The Leg had been designed to study in time and space mantle heterogeneity ...
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  • 18
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 348 (1990), S. 234-236 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Earthquakes in a zone of crustal deformation are a complex phenomenon. A standard procedure for determining whether a complex system exhibits chaotic behaviour is to study a low-order analogue model. A widely recognized analogue model for seismic faulting is a spring-loaded slider-block system (see ...
    Type of Medium: Electronic Resource
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  • 19
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 244 (1973), S. 337-339 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] There are many examples of mid-plate tectonics which require an explanation. Oceanic island chains, continental graben and rift valleys, and features which pass from continental areas into oceanic parts of the same plate, are particularly important. We argue that these are the result of crustal ...
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  • 20
    Electronic Resource
    Electronic Resource
    Springer
    Marine geophysical researches 7 (1984), S. 177-190 
    ISSN: 1573-0581
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Data from the GEOS 3 and SEASAT Satellites have provided a very accurate geoid map over the oceans. Broad bathymetric features in the oceans such as oceanic swells and plateaus are fully compensated. For these features it can be shown that the geoid anomalies due to the density structure of the lithosphere are proportional to the first moment of the density distribution. Deepening of the ocean basins is attributed to thermal isostasy. The thickness of the oceanic lithosphere increases with age due to the loss of heat to the sea floor. Bathymetry and the geoid provide constraints on the extent of this heat loss. Offsets in the geoid across major fracture zones can also be used to constrain this problem. Geoid-bathymetry correlations show that the Hawaiian and Bermuda swells and the Cape Verde Rise are probably due to lithospheric thinning. A similar correlation for the Walvis Ridge and Agulhas Plateau indicates that these features are probably due to an anomalously light mantle lithosphere.
    Type of Medium: Electronic Resource
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