Analysis of Theoretical Concepts for Interpretation the Result of the Experimental Studies of Free Groundwater Level Oscillation in Wells

Mikhail M Burakov

doi:10.22158/se.v6n1p123

Abstract

A number of publications present the results of an experimental study of free oscillations of groundwater piezometric level in wells with their eigenfrequencies. The oscillations were initiated by a pulsed impact on the aquifer through the well. Also in a number of publications a theoretical interpretation was proposed for the established phenomenon. However, the existing theoretical ideas about free oscillations of the groundwater level seem to be incorrect. In the present work, a critical analysis of these available theoretical concepts is performed. The analysis served as an impetus to the development of a consistent theory of relaxation filtration of groundwater.

Highlights

Bredehoeft, Cooper, and Papadopoulos in 1966 studied inertial effects in aquifers on the basis of analog modeling of GroundWater (GW) filtration [6]
A number of publications present the results of an experimental study of free oscillations of groundwater piezometric level in wells with their eigenfrequencies
The analysis served as an impetus to the development of a consistent theory of relaxation filtration of groundwater

Summary

Introduction

Bredehoeft, Cooper, and Papadopoulos in 1966 studied inertial effects in aquifers on the basis of analog modeling of GroundWater (GW) filtration [6]. In other words, according to the approach to describe the propagation of oscillations in an aquifer, two independent problems of fluid movement are taken: one describes the oscillations of a water column in a wellbore with eigenfrequencies (in an isolated system that does not exchange mass and energy with other systems, and the damping of oscillations in this system is determined only by the friction of the fluid on the inner walls of the well), the other describes the forced oscillations of the GW level in the aquifer (excluding the well itself)—an open system with the linear law of filtration and in the absence of the inertial component of resistance to the motion of a fluid Both of these systems are artificially connected by condition (14). The relationship of the adiabatic and isothermal modulus of water compression is expressed by the equation [24]:

E АD E c p

Result

Discussion