Finite element models of density instabilities by means of bicubic spline interpolation

Woidt, W.-D.; Neugebauer, Horst J.

doi:10.1016/0031-9201(80)90068-0

Cited by 15 publications

(5 citation statements)

References 6 publications

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“…In addition to simplified analytical models which serve well to elucidate some critical problems (Lehner, 2000;Fletcher et al, 1995;Triantafyllidis and Leroy 1994), most work is based on numerical techniques, usually applying finite elements, (Last, 1988;Van Keken, 1993;Podladchikov et al 1993;Poliakov et al 1993, Woidt & Neugebauer 1980Ismail-Zadeh et al 2001;Daudré & Cloetingh1994;Kaus & Podladchikov 2001;Schultz-Ela and Walsh, 2002;Schultz-Ela and Jackson, 1993;Gemmeret et al, 2004;Ings and Beaumont 2010).…”

Section: Geomechanical Modelling Of Salt Tectonicsmentioning

confidence: 99%

Numerical modelling of the displacement and deformation of embedded rock bodies during salt tectonics: A case study from the South Oman Salt Basin

Abe

Reuning

et al. 2012

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Large rock inclusions are embedded in many salt bodies and these respond to the movements of the salt in a variety of ways, including displacement, folding and fracturing. One mode of salt tectonics is downbuilding, whereby the top of a developing diapir remains in the same vertical position, while the surrounding overburden sediments subside. We investigate how the differential displacement of the top salt surface caused by downbuilding induces ductile salt flow and the associated deformation of brittle stringers, by an iterative procedure to detect and simulate conditions for the onset of localization of deformation in a finite element model, in combination with adaptive remeshing. The model setup is constrained by observations from the South Oman Salt Basin, where large carbonate bodies encased in salt form substantial hydrocarbon plays. The model shows that, depending on the displacement of the top salt, the stringers can break very soon after the onset of salt tectonics and can deform in different ways. If extension along the inclusion dominates, stringers are broken by tensile fractures and boudinage at relatively shallow depth. Spacing of the boudin-bounding faults can be as

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Section: Geomechanical Modelling Of Salt Tectonicsmentioning

confidence: 99%

Numerical modelling of the displacement and deformation of embedded rock bodies during salt tectonics: A case study from the South Oman Salt Basin

Abe

Reuning

et al. 2012

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“…The dynamics of salt structures can be described mathematically by the linearized Navier-$tokes equation for incompress- The Finite Element-calculations are performed on a regular grid and with bicubic splines as shape functions to optimize length of computations and required computer memory [Woidt and Neugebauer, 1980]. The dynamical evolution of any mechanical system implies the exchange of energy and momentum between its single components or phases.…”

Section: Model Conceptmentioning

confidence: 99%

“…Such two-layer models have provided insight into the growth rate of a diapir as a function of overburden viscosity, the formation of rim synclines, and the spacing of daughter diapirs. These phenomena are related to the ratio of layer thicknesses and viscosities [Woidt and Neugebauer, 1980;Ramberg, 1981]. We present here a two-dimensional numerical model that allows simulation of the intrusion of diapirs into an arbitrarily layered overburden with depth-dependent densities and viscosities and time-dependent thickness.…”

mentioning

confidence: 99%

The Salt Dome problem: A multilayered approach

Römer¹,

Neugebauer²

1991

J. Geophys. Res.

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The dynamical evolution of buoyancy‐driven geological systems is mainly influenced by two physical parameters: density and equivalent viscosity. Salt structures are an appropriate geological representation of these systems. Important variations of these parameters are directly related to changes in mass, and thus the internal structures themselves and their changes in time become significant parameters. In order to decipher these structures in nature by means of experiments it is therefore necessary to extend model calculations on intrusion processes to multilayer systems. A two‐dimensional finite element program has been developed to simulate the rise of individual diapirs through multi‐layered overburdens exhibiting Newtonian‐viscous rheologies. This program includes the following features: arbitrarily shaped interfaces between different fluid boundaries, layers of finite thickness and subsidence of the model within the model‐frame as well as time‐ and depth‐dependent material properties. This paper is concerned with single diapirs intruding upbuilt multilayered overburdens, the effect of a subsiding salt base due to pure downbuilding, and differential loading of gravitationally unstable distributions of mass. Variable density and viscosity of the overburden with depth control the shape and ascent rates of diapiric bodies. The subsidence history of “salt structures” dominates the development of maximum horizontal pressure gradients with time and thus the ascend histories of diapirs.

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“…Woidt & Neugebauer (1980) have shown by means of a two-dimensional numerical model of large deformations of rocks that the developing inter face instability of a two-layer model with inverted density stratification is controlled by structural and mechanical parameters. Thereafter the shapes and sizes of rising diapir structures are controlled by the viscosity ratio between the diapir and the medium and by the ratio of layer thicknesses between overburden and source, respectively.…”

Section: Diapiric Penetration Modelsmentioning

confidence: 99%

Models of Lithospheric Thinning

Neugebauer¹

1987

Annu. Rev. Earth Planet. Sci.

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Annu. Rev. Earth Planet. Sci. 1987.15:421-443. Downloaded from www.annualreviews.org Access provided by New York University -Bobst Library on 02/08/15. For personal use only. Quick links to online content Further ANNUAL REVIEWS Annu. Rev. Earth Planet. Sci. 1987.15:421-443. Downloaded from www.annualreviews.org Access provided by New York University -Bobst Library on 02/08/15. For personal use only. Annu. Rev. Earth Planet. Sci. 1987.15:421-443. Downloaded from www.annualreviews.org Access provided by New York University -Bobst Library on 02/08/15. For personal use only.

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Finite element models of density instabilities by means of bicubic spline interpolation

Cited by 15 publications

References 6 publications

Numerical modelling of the displacement and deformation of embedded rock bodies during salt tectonics: A case study from the South Oman Salt Basin

Numerical modelling of the displacement and deformation of embedded rock bodies during salt tectonics: A case study from the South Oman Salt Basin

The Salt Dome problem: A multilayered approach

Models of Lithospheric Thinning

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