An infinite boundary element algorithm for subsidence due to water pumping from aquifers | |
| Author | Alvappillai, Arumugam |
| Call Number | AIT Thesis no.ST-88-2 |
| Subject(s) | Water, Underground Finite element method Aquifers |
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology |
| Publisher | Asian Institute of Technology |
| Abstract | In this study, an efficient finite element scheme is presented for axisymmetric loadings of multilayered saturated porous elastic media . The Biot's quasi-static consolidation theory is assumed to govern. The far field behavior of displacement components and excess pore water pressure is investigated for some simple cases. Based on these results, an infinite element algorithm is developed to model the far field of the half space. The whole material domain is divided into a near field and a far field. While the near field is modelled by porous elastic finite elements, the far field is modelled by porous elastic infinite elements. Each infinite element is transformed into a finite element by means of an appropriate singular contraction, thus the existing standard procedures for finite elements are readily applicable. The displacement and pore pressure interpolation functions are assumed in conformance with the derived far field model . Finite element formulation is presented based on variational principle. The functional of the whole domain is derived and by equating the first variation of this to zero , a system of equations is obtained. Laplace transform is applied with respect to the time variable to remove the time dependency and later its inverse is obtained by the simple approximate formula proposed by Schapery. The validity and the accuracy of the present algorithm is confirmed by comparing with already known analytical solutions. The present scheme is applied for the prediction of land subsidence in Bangkok area due to water pumping from aquifers. |
| Year | 1988 |
| Type | Thesis |
| School | School of Engineering and Technology (SET) |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Karasudhi, Pisidhi |
| Examination Committee(s) | Worsak Kanok-Nukulchai ; Hasegawa Akio |
| Scholarship Donor(s) | The Royal Norwegian Government |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1988 |