Modeling Ground-Water Flow by Means of Hybrid Trajectory Image, Boundary Integral Equation Method

摘要

The trajectory image method (TIM), a new modeling technique based on image theory, can be used to find head, gradients, velocities, and flow directions. TIM derives from the idea that particles emitted by sources or absorbed by sinks may be reflected by impermeable boundaries, or they may be partially absorbed, reflected, and partially transmitted by boundaries of differing hydraulic conductivities but with abrupt changes in their changes in head become neglible. Each reflection represents an image in terms of the boundaries where the trajectories are reflected, thus a great number of imaginary points, depending on accuracy desired after projection, are generated. The traveling distances of particles are measured from sources or sinks to the current ray-boundary intersections.