摘要:

AbstractA mathematical model treating the compaction of sediments in geological basins is derived. The model is based on the principle of conservation of mass and energy, and gives a consistent and complete set of equations for compaction, pressure and temperature history of sedimentary basins.Further, the paper describes a numerical model based on the mathematical equations, derived by using the finite element method. This derivation starts with the time‐discretized versions of the conservation laws of mass and energy. The result is the time‐discretized equations for pressure and temperature. The numerical derivation is parallel with the mathematical deductions. By integrating these time‐discretized equations spatially the element equations are obtained. Hence, the element equations are derived directly from the underlying physical laws. This approach to developing element equations in a compacting medium is believed to be new. The model has been tested successfully on some geological basins, and the results of a simulation are included at the end of the

ISSN:0363-9061    

DOI:10.1002/nag.1610140802

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractIn this paper the stress and moment stress distribution in a periodically layered half plane due to an arbitrary surface loading are derived. The bending stiffness of each layer is considered within the framework of Cosserat's continuum theory. Special emphasis is given to the case when the shear modulus of the one type of layer is much smaller than that of an adjacent layer. Results are illustrated for the case of a strip loading.

ISSN:0363-9061    

DOI:10.1002/nag.1610140803

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractA double‐porosity model is used to describe the oscillatory gas motion and associated contaminant transport induced by cyclical variations in the barometric pressure at the surface of a fractured porous medium. Flow along the fractures and within the permeable matrix blocks is locally one‐dimensional. The interaction between fractures and blocks includes seepage of fluid as well as diffusion of contaminant. To guard against artificial numerical diffusion, the FRAM filtering remedy and methodology of Chapman is used in calculating the advective fluxes along fractures and within blocks. The entire system of equations, including the fracture‐matrix interaction terms, is solved by a largely implicit non‐iterative algorithm which remains stable and conservative even when the computational time step is large compared to the cross‐block transit time of pressure waves. The numerical accuracy is tested by comparison with exact solutions for oscillatory and unidirectional flows, some of which include diffusion interaction between the fracture and the matrix. The method is used to estimate the rate of vertical transport of radioactive gases through the rubblized chimney produced by an underground nuclear

ISSN:0363-9061    

DOI:10.1002/nag.1610140804

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

摘要:

AbstractA simple hyperbolic function is often used to illustrate typical stress‐strain behaviour of geomaterials during monotonic loading. This approach has the disadvantage that the failure condition is approached asymptotically, whereas in reality failure must occur at a finite value of strain. A modified hyperbolic function with one adjustable parameter is proposed in this paper. The function is shown to be capable of spanning all likely soil stress‐strain data up to and including peak stren

ISSN:0363-9061    

DOI:10.1002/nag.1610140805

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

ISSN:0363-9061    

DOI:10.1002/nag.1610140806

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY

ISSN:0363-9061    

DOI:10.1002/nag.1610140801

出版商:John Wiley&Sons, Ltd    

年代:1990

数据来源: WILEY