Surface fitting in geomorphology - examples for regular-shaped volcanic landforms

In nature, several types of landforms have simple shapes: as they evolve they tend to take on an ideal, simple geometric form such as a cone, an ellipsoid or a paraboloid. Volcanic landforms are possibly the best examples of this ?ideal? geometry, since they develop as regular surface features due to the point-like (circular) or fissure-like (linear) manifestation of volcanic activity. In this paper, we present a geomorphometric method of fitting the ?ideal? surface onto the real surface of regular-shaped volcanoes through a number of case studies (Mt. Mayon, Mt. Somma, Mt. Semeru, and Mt. Cameroon). Volcanoes with circular, as well as elliptical, symmetry are addressed. For the best surface fit, we use the minimization library MINUIT which is made freely available by the CERN (European Organization for Nuclear Research). This library enables us to handle all the available surface data (every point of the digital elevation model) in a one-step, half-automated way regardless of the size of the dataset, and to consider simultaneously all the relevant parameters of the selected problem, such as the position of the center of the edifice, apex height, and cone slope, thanks to the highly performing adopted procedure. Fitting the geometric surface, along with calculating the related error, demonstrates the twofold advantage of the method. Firstly, we can determine quantitatively to what extent a given volcanic landform is regular, i.e. how much it follows an expected regular shape. Deviations from the ideal shape due to degradation (e.g. sector collapse and normal erosion) can be used in erosion rate calculations. Secondly, if we have a degraded volcanic landform, whose geometry is not clear, this method of surface fitting reconstructs the original shape with the maximum precision. Obviously, in addition to volcanic landforms, this method is also capable of constraining the shapes of other regular surface features such as aeolian, glacial or periglacial landforms.

An analysis of installation of submarine pipelines

There are different methods of construction of outfall pipelines, all of them have to solve the problem of placing a tube over a known location in sea bed. This process has sometimes to be done in difficult conditions as waves, current or depths greater than 30 metres, where a diver cannot go safely beyond. Also the placement of the pipeline must be carried out without any damage to the tube, therefore a close control of the deflections and stresses in the structure must be performed. The importance of this control should be not diminished because a damage during the construction would imply a very difficult and expensive repair, that should be avoided with a proper design of the construction process. This paper is focused in the analysis of the tube during its placement according to a very well known construction method consisting in placing the tube from a boat, where all the connections between consecutive tube segments are performed, and also the whole process is controlled. This method is used for outfall as well as offshore pipelines, and it will be described in Section 2

Scaling in geology: landforms and earthquakes.

Landforms and earthquakes appear to be extremely complex; yet, there is order in the complexity. Both satisfy fractal statistics in a variety of ways. A basic question is whether the fractal behavior is due to scale invariance or is the signature of a broadly applicable class of physical processes. Both landscape evolution and regional seismicity appear to be examples of self-organized critical phenomena. A variety of statistical models have been proposed to model landforms, including diffusion-limited aggregation, self-avoiding percolation, and cellular automata. Many authors have studied the behavior of multiple slider-block models, both in terms of the rupture of a fault to generate an earthquake and in terms of the interactions between faults associated with regional seismicity. The slider-block models exhibit a remarkably rich spectrum of behavior; two slider blocks can exhibit low-order chaotic behavior. Large numbers of slider blocks clearly exhibit self-organized critical behavior.

(Table 8.2, Page 178) Annotated record of the detailed examination of Mn deposits from submarine photographs acquired by the R/V Vityaz in the Pacific Ocean

Prof. H. H. W. Menard has brought together nearly all that was known of the Pacific geology in the early 1960s. His book contains a particular chapter on manganese nodules giving a stimulating review of the features and processes known to govern their distribution and chemical composition.

Worldwide submarine challenges /

Mode of access: Internet.

Sedimentation in submarine canyons in San Diego County, California, 1984-1987 : Coast of California storm and tidal waves study /

Mode of access: Internet.

Meeting the submarine challenge : a short history of the Naval Underwater Systems Center /

Shipping list no.: 97-0340-P.

Status of the Trident submarine and missile programs, Department of the Navy : report to the Congress /

Publication date stamped on cover.

Photographic investigation of sediment texture, bottom current activity, and benthonic organisms in the Wilmington Submarine Canyon, U.S.C.C.C. Rockaway-Smithsonian Institution cruise (RoS2) December 1967

"CG 373-22."

First-interim report on the hydrodynamics and stability and control of a tandem propeller submarine.

"Contract Nonr-3659(00) (FBM)."

Submarine geology of the Tongue of the Ocean, Bahamas.

Cover title.

Submarine topography and sedimentation in the vicinity of Mugu Submarine Canyon, California.

Mode of access: Internet.

The world's submarine telephone cable systems /

Mode of access: Internet.

Under the ocean to the South pole; or, The strange cruise of the submarine wonder,

Mode of access: Internet.