Displacements and stresses at any point of a uniform half-space due to two-dimensional buried sources

Rani, Sunita; Singh, Sarvat Jit; Garg, Nat Ram

doi:10.1016/0031-9201(91)90134-4

Cited by 24 publications

(20 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Pan (1989a, b) provided a unified solution of the static deformation of the transversely isotropic and layered half space by general surface loads. Rani et al (1991) extended the work of Singh and Garg (1986) and obtained closed form analytical expressions for the displacements and stresses at any point of a uniform half space due to two-dimensional buried sources by applying the traction free boundary conditions at the surface of the half space. Okada (1985Okada ( , 1992 provided compact analytical expressions for the surface deformation and internal deformation due to inclined shear and tensile faults in a homogeneous isotropic half space.…”

Section: Introductionmentioning

confidence: 94%

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Vashisth

Rani²,

Singh

2015

Acta Geophys.

View full text Add to dashboard Cite

A b s t r a c t A two-dimensional problem of quasi static deformation of a medium consisting of an elastic half space in welded contact with thermoelastic half space, caused due to seismic sources, is studied. Source is considered to be in the elastic half space. The basic equations, governed by the coupled theory of thermoelasticity, are used to model for thermoelastic half space. The analytical expressions for displacements, strain and stresses in the two half spaces are obtained first for line source and then for dip slip fault. The results for two particular cases, adiabatic conditions and isothermal conditions, are also obtained. Numerical results for displacements, stresses and temperature distribution have also been computed and are shown.

show abstract

Section: Introductionmentioning

confidence: 94%

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Vashisth

Rani²,

Singh

2015

Acta Geophys.

View full text Add to dashboard Cite

show abstract

“…As given by Rani et al (1991), we have the Airy stress function for an arbitrary line source parallel to the x 1 -axis and passing through the point located in the isotropic half-space welded with the orthotropic half-space. For the isotropic half-space, (9) and for orthotropic half-space, (10) Where, receiver location, ,…”

Section: Theorymentioning

confidence: 99%

“…Singh and Garg (1986) [8] obtained the integral expressions for the Airy stress function in an unbounded medium due to various two-dimensional seismic sources. Beginning with these expressions, Rani et al (1991) [9] obtained the integral expressions for the Airy stress function, displacements and stresses in a homogeneous, isotropic, perfectly elastic half-space due to various two-dimensional sources by applying the traction-free boundary conditions at the surface of the half-space. The integrals were then evaluated analytically, obtaining closed-form expressions for the Airy stress function, the displacements and the stresses at any point of the half-space caused by two-dimensional buried sources.…”

Section: Introductionmentioning

confidence: 99%

Static Deformation due to a Long Tensile Fault of Finite Width in an Isotropic Half-Space Welded with an Orthotropic Half-Space

Godara

Sahrawat

Singh

2014

BMSA

View full text Add to dashboard Cite

Closed-form analytical expressions for displacements and stresses at any point of a two-phase medium consisting of a homogeneous, isotropic, perfectly elastic half-space in welded contact with a homogeneous, orthotropic, perfectly elastic half-space caused by a tensile fault of finite width located at an arbitrary distance from the interface in the isotropic half-space are obtained. The Airy stress function approach is used to obtain the expressions for the stresses and displacements. The vertical tensile fault is considered graphically. The variations of the displacements with the distance from the fault and with depth for various cases have been studied graphically. Also horizontal and vertical displacement of the surface are presented graphically.

show abstract

“…The solution of the Auxiliary Problem (I) is adopted from the work by Mindlin and Cheng (1950) and Rani et al (1991). The centre of dilatation is obtained by superimposing two orthogonal force dipoles at a point as shown in Fig.…”

Section: Problem Statement and Modelmentioning

confidence: 99%

Propagation of In Situ Horizontal Fractures in Shale Due to Steam Injection

Wong¹,

Chau²

2002

Canadian International Petroleum Conference

View full text Add to dashboard Cite

Thermal recovery processes such as cyclic steam stimulation and steam assisted gravity drainage involve steam injection of large volume into oil sand formation. Dilatation of oil sand formation due to steam injection induces stresses and deformations in the shale overburden. Natural horizontal fissures or fractures of large extent with no tensile and cohesive strength are commonly found in the shale formation. New fractures will be initiated at these in-situ horizontal fracture tips if the stresses and deformation induced by the steam injection are excessive. Reactivation and propagation of these in-situ fractures in the shale formation could cause not only casing impairment problem but also environmental hazard. This paper presents an analytical model to investigate the propensity for fracture propagation in shale due to steam injection under tensile (mode I) and shear (model II) fracturing. Practical numerical examples are presented along with risk assessment and implications.

show abstract

Displacements and stresses at any point of a uniform half-space due to two-dimensional buried sources

Cited by 24 publications

References 2 publications

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Static Deformation due to a Long Tensile Fault of Finite Width in an Isotropic Half-Space Welded with an Orthotropic Half-Space

Propagation of In Situ Horizontal Fractures in Shale Due to Steam Injection

Contact Info

Product

Resources

About