FLUID DYNAMICS MODEL FOR SALT-DOME EVOLUTION

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A fluid dynamics model for the evolution of salt domes and ridges is presented. The model assumes a rigid substrate, finite thickness of both strata with no slip and a rigid or free surface of overburden. Inertial terms in the Navier-Stokes equations are neglected due to the large viscosities considered and the initial perturbation is taken to be sinusoidal. Finite sine and cosine transforms are used to solve the flow equations and the resulting systems of equations reproduces the velocity field equation of Ramberg's model. Assuming an initial interface, the infinite series solution is truncated to obtain the constants of ... continued below

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42 p.

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Nasir, N. E. & Dabbousi, O. B. August 1, 1977.

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Description

A fluid dynamics model for the evolution of salt domes and ridges is presented. The model assumes a rigid substrate, finite thickness of both strata with no slip and a rigid or free surface of overburden. Inertial terms in the Navier-Stokes equations are neglected due to the large viscosities considered and the initial perturbation is taken to be sinusoidal. Finite sine and cosine transforms are used to solve the flow equations and the resulting systems of equations reproduces the velocity field equation of Ramberg's model. Assuming an initial interface, the infinite series solution is truncated to obtain the constants of the integration from the boundary conditions. The interface is then moved to a new position. Thus, the new shape for the interface can be traced for any time. For small perturbations, we obtain results that are approximately those obtained by the linear theory. Results of the numerical solution of the model for both large and small perturbations are presented.

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42 p.

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  • Journal Name: Tectonophysics

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  • Report No.: LBL-6912
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 1004765
  • Archival Resource Key: ark:/67531/metadc843471

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • August 1, 1977

Added to The UNT Digital Library

  • May 19, 2016, 3:16 p.m.

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  • July 28, 2016, 12:53 p.m.

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Nasir, N. E. & Dabbousi, O. B. FLUID DYNAMICS MODEL FOR SALT-DOME EVOLUTION, article, August 1, 1977; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc843471/: accessed September 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.