A geophysical application of an elastostatic contact problem

作者：Selvadurai A P S^*

来源：Mathematics and Mechanics of Solids, 2013, 18(2): 192-203.

DOI：10.1177/1081286512462304

• Geomechanics
• elastic interaction
• contact mechanics for a plate
• thin plate theory
• integral transform solutions
• geologic sequestration
• distributed centers of dilatation

This paper develops an analytical solution to the problem of the interaction between an elastic sealing geologic layer that is embedded within elastically dissimilar geologic media of semi-infinite extent. The axisymmetric mechanics of the elastic sealing layer during the application of pressurization of circular regions located in both halfspace regions is evaluated using an interaction analysis based on the classical theory of elasticity. In particular, the flexural behavior of the elastic sealing layer is modeled as an elastic plate that satisfies the Germain-Poisson-Kirchhoff thin plate theory. Integral expressions are developed for the deflections and stresses in the sealing layer, which are essential for establishing its sealing integrity. Specific numerical results are presented for the case where a single halfspace region is subjected to pressurization over a circular area of finite thickness.

• 出版日期2013-3