MATHEMATICAL FORMULATION OF SALT‐DOME DYNAMICS

Geophysics ◽  
1964 ◽  
Vol 29 (3) ◽  
pp. 414-424 ◽  
Author(s):  
Z. F. Daneš

The development of salt domes is formulated as a case of Taylor instability in the salt‐sediment system. It is assumed that the salt layer rests on a rigid substratum, while the upper surface of the sediment is free. Both salt and sediment are assumed to behave as highly viscous media. Of the entire spectrum of infinitesimal perturbations the component of the fastest growth is assumed to become dominant and to determine the spacing of domes. Exact solutions are derived for the linear theory in equations (3.7) and (4.24). Corrections due to the nonlinear terms are analyzed qualitatively in (5.8) and (5.9).

1976 ◽  
Vol 15 (2) ◽  
pp. 239-244 ◽  
Author(s):  
G. L. Kalra ◽  
S. N. Kathuria

Nonlinear theory of Rayleigh—Taylor instability in plasma supported by a vacuum magnetic field shows that the growth rate of the mode, unstable in the linear theory, increases if the wavelength of perturbation π lies betweenand 2πcrit. This might have an important bearing on the proposed thermonuclear MHD power generation experiments.


Author(s):  
Alex Morrison ◽  
Bhupen Mehta ◽  
J. W. Lyons ◽  
Gregor Gnaedig

This paper summarizes the results of the technical and economic data of nominal 280 MW Compressed Air Energy Storage Plants (CAES) using caverns in salt domes located in southeastern parts of Mississippi for intermediate duty generation of 1,000 hours per year and peaking duty generation of 750 hours per year. The plants are assumed to operate 90% time on Natural Gas and 10% of the time on No. 2 distillate. A weekly cycle of 10 hours of generation and 12 hours of charging daily with 15 hours of weekend charging was the basis for the study. The study includes conceptual layout, optimization, detailed cost analyses, reliability and operation and maintenance of the Compressed Air Energy storage plant. The objective of the study is low capital cost of the CAES plant and optimum performance.


1982 ◽  
Vol 27 (1) ◽  
pp. 129-134 ◽  
Author(s):  
Bhimsen K. Shivamoggi

Kaira & Kathuria used the method of multiple scales to develop nonlinear analysis of Rayleigh–Taylor instability of a plasma in a magnetic field. Their calculations remain valid only for wavenumbers k away from the linear cut-off value kc, and break down for wavenumbers near kc. The purpose of this paper is to treat the latter case. The solution uses the method of strained parameters. The results show the instability persists even at k = kc, despite the cut-off predicted by the linear theory.


Geophysics ◽  
1989 ◽  
Vol 54 (8) ◽  
pp. 1042-1045 ◽  
Author(s):  
Irshad R. Mufti

A salt dome is a familiar example of a three‐dimensional (3-D) geologic structure. Surprisingly, most of the literature devoted to the investigation of salt domes deals only with cross‐sectional views of the domes. This is particularly true for seismic work. A notable exception is the work of French (1974) which discusses inaccuracies in focusing introduced by performing two‐dimensional (2-D) migration of data obtained over a 3-D model structure.


2021 ◽  
Author(s):  
Valentyn Loktyev ◽  
Sanzhar Zharkeshov ◽  
Oleh Hotsynets ◽  
Oleksandr Davydenko ◽  
Mikhailo Machuzhak ◽  
...  

Abstract In the Dnipro-Donets depression, the Devonian salt during Carboniferous time became movable and created salt domes in the Permian, moving to the sea bottom and flowing therewith, forming bodies visible today as salt canopies and overhangs. These features are clear pieces of evidence of salt exposure on the surface, especially considering belts of reservoirs around salt domes. These reservoirs can be extremely prolific in some wells. Previous exploration targeting such deposits was driven mainly by drilling wells within the areas of known deep fields such as Medvedivske, Zakhidno-Khrestyschenske and others in the central part of the DDB. These reservoirs are composed of poorly sorted coarse material of wide variety of rocks including sandstones, carbonates, dolomites, igneous rocks of deep (granites), and shallow (diabases) formations. Currently, with the availability of 3D seismic surveys, these deposits become visible as bright spots and flat spots. Although it is not a 100% indicator due to fact that shallow salt canopies and lithology changes of rocks around salt domes may also interpret seismic reflections. It is good to mention that the Permian is an aridic environment with gradually losing water influx to the basin from base to top within the thickness of more than 1-2 kilometers. It could be utilized as boundary analogues to cover most of the possible intermediate scenarios in three areas. The first analogue is the outcropped salt dome in Solotvyno village in Carpathian mountains in western Ukraine close to the Romania border. This salt dome is an important example of showing the current deposition of transported coarse material from depth around salt domes. The second one is salt domes exposed as mountains of the Oman desert where it is possible to follow the material path approaching the salt uplift. And the third example is the Death Valley in Arizona, USA. The valley is an example of fans mostly deposited by gravity rather than permanent water flows. It good to mention that there are more examples that could be treated as direct analogues (the Zagros mountains in Iran) but they are not easily accessible for field trips if needed. For recognizing real targets vs artifacts, applying the knowledge of current deposition examples around the world would help dramatically (Western Ukraine, Oman, Death Valley in Arizona).


Geophysics ◽  
1957 ◽  
Vol 22 (3) ◽  
pp. 630-642 ◽  
Author(s):  
L. L. Nettleton

A gravity survey of 50 stations over one of the mounds near the edge of the Continental Shelf developed a strong, roughly circular negative anomaly. The gravity minimum is similar in magnitude and lateral extent to those over large salt domes in the on‐shore and explored offshore areas of the Gulf Coast. An approximate quantitative evaluation shows that the minimum can be accounted for quite completely by a large shallow salt dome. The shallow part of the dome is approximately co‐extensive with the topographic feature and it seems quite certain that this particular mound is genetically, related to a salt dome. If other similar mounds also are salt domes, the area of domes off the Louisiana coast is approximately doubled over that presently known from commercial geophysical exploration.


Geophysics ◽  
1992 ◽  
Vol 57 (11) ◽  
pp. 1453-1462 ◽  
Author(s):  
Dave Hale ◽  
N. Ross Hill ◽  
Joe Stefani

Turning seismic waves, which first travel downward and then upward before (and after) reflection, have been recorded in a 3-D seismic survey conducted over an overhanging salt dome. Careful processing of these turning waves enables the imaging of the underside of the salt dome and of intrusions of salt into vertical faults radiating from the dome. When seismic wave velocity increases with depth, waves that initially travel downward are reflected and may turn so as to travel upward before reflection. A simple geometrical argument suggests that these turning waves are likely to exhibit abnormal moveout in common‐midpoint (CMP) gathers, in that reflection time decreases with increasing source‐receiver offset. This abnormal moveout and the attenuation of turning waves by most migration methods suggest that conventional seismic processing does not properly image turning waves. The most important step in imaging turning waves, assuming that they have been recorded, is the migration process. Simple and inexpensive modifications to the conventional phase‐shift migration method enable turning waves to be imaged for little additional computational cost. The examples provided in this paper suggest that these and other such modifications to conventional processing should be used routinely when imaging salt domes.


Geophysics ◽  
1966 ◽  
Vol 31 (4) ◽  
pp. 726-740 ◽  
Author(s):  
Franz Selig ◽  
E. G. Wermund

If two fluids of different densities are superposed one over the other, the plane interface between the two fluids becomes unstable if the heavy fluid overlays the lighter one. This type of hydrodynamic instability is called Rayleigh‐Taylor instability. The theory of Rayleigh‐Taylor instability is a useful tool to study the distribution of salt domes in the coastal region of the Gulf Coastal Province. In spite of a drastic simplification of the geologic situation, the model shows: a) that the spacing of salt domes about an initial disturtbance depends upon the thickness of the mother salt and viscosity ratio of overlying sediment to salt; b) that domes not only grow upward from the initial disturbance, but domes are also triggered in the vicinity of the primary disturbance, forming a family of incipient domes with a regular pattern; c) that the family of incipient domes develops out of the initial disturbance starting at the location of maximal instability and spreading radially. Several numerical examples provide a framework for examining the disturbance of Gulf Coastal salt domes.


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