Solving Vertical and Horizontal Well Hydraulics Problems

A bleak generalized three-dimensional analytical answer is developed for a partially-penetrating vertical orthogonal parallelopiped healthful essay in a confined aquifer by solving the three-dimensional flying ground water flow differential equation in x-y-z Cartesian coordinates system for drawdown by taking into account the three principal hydraulic conductivities (K _x, K _y, and K _z) along the x-y-z coordinate directions. The fully penetrating covering fire case becomes equivalent to the single vertical fracture case of Gringarten and Ramey (1973).It is shown that the bleak dissolving agent and Gringarten and Ramey final result (1973) match very well. Similarly, it is shown that this new solution for a horizontally tiny fully penetrating parallelepiped rectangular parallelepiped screen case match very well with Theis (1935) solution. Moreover, it is also shown that the horizontally tiny partially-penetrating parallelepiped rectangular well screen case of this new soluti on match very well with Hantush (1964) solution.This new analytical solution can also cover a partially-penetrating horizontal well by representing its screen interval with vertically tiny rectangular parallelepiped. Also the solution takes into account both the vertical anisotropy (a _(zx)=K _z/K _x) as well as the horizontal anisotropy (a _(yx)=K _y/K _x) and has potential application areas to try out pumping test drawdown data from partially-penetrating vertical and horizontal wells by representing them as tiny rectangular parallelepiped as well as outline sources.The solution has also potential application areas for a partially-penetrating parallelepiped rectangular vertical fracture. With this new solution, the horizontal anisotropy (a _(yx)=K _y/K _x) in accession to the vertical anisotropy (a _(zx)=K _z/K _x) can also be contumacious using observed drawdown data. Most importantly, with this solution, to the knowledge of the author, it has been shown the first time in the literature that some well-known well hydra