Two problems in the hydrodynamics of salt water intrusion | |
| Author | Prathet Sutabutra |
| Call Number | AIT Thesis no. 19 |
| Subject(s) | Saltwater encroachment|xThailand|xMathematical models Hydrodynamics |
| Note | A thesis submitted in partial fulfillment if the requirements for the degree of Master of Engineering in the SEATO Graduate School of Engineering, Bangkok, Thailand. |
| Publisher | Asian Institute of Technology |
| Abstract | A variation of a method of transformation presented by Henry is used here to solve two problems in salt water intrusion. The first problem is to find the equations of flow from a canal into a homogeneous aquifer saturated with salt water under an impermeable barrier of infinite width (see Fig. 3a). The second problem involves ground water flow through a coastal aquifer (see Fig. 4a). It is closely related to the first problem mathematically. The analysis consists of the definition of successive conformal transformations, involving a hodograph or velocity plane and the application of the Schwarz–Christoffel transformation. The solution of the first problem involves integrals which are rather difficult to evaluate numerically. Therefore only the salt–fresh water interface (which is the curve of most interest in the flow net) was calculated numerically for one choice of parameters (see Fig. 4). The second problem was simpler and it was possible to solve for the complete dimensionless flow net (see Fig. 6). The solution checked with that of R. E. Glover, who solved the problem by a different method. |
| Year | 1962 |
| Type | Thesis |
| School | Student Research Before 1979 |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Thesis (Year <=1979) |
| Degree | Thesis (M.Eng.) - SEATO Graduate School of Engineering, 1962 |