The Relation Between the Lowering of the Piezometric Surface and the Rate and Duration of Discharge of a Well Using Ground‐water Storage

Abstract

When a well is pumped or otherwise discharged, water‐levels in its neighborhood are lowered. Unless this lowering occurs instantaneously it represents a loss of storage, either by the un‐watering of a portion of the previously saturated sediments if the aquifer is nonartesian or by release of stored water by the compaction of the aquifer due to the lowered pressure if the aquifer is artesian. The mathematical theory of ground‐water hydraulics has been based, apparently entirely, on a postulate that equilibrium has been attained and therefore that water‐levels are no longer falling. In a great number of hydrologic problems, involving a well or pumping district near or in which water‐levels are falling, the current theory is therefore not strictly applicable. This paper investigates in part the nature and consequences of a mathematical theory that considers the motion of ground‐water before equilibrium is reached and, as a consequence, involves time as a variable.

Transient flow of slightly compressible fluids through double-porosity, double-permeability systems ? A state-of-the-art review

“…Some mistakes involved in these solutions resulting from some misunderstanding of the formulation of the boundary-value problem were indicated by Barenblatt (1963) (Theis, 1935) for a homogeneous porous medium, with k2 as its permeability and ~bl as its porosity. Thus, one of the most important characteristics of the fluid flow through a naturally fractured reservoir is that there is some lag in the transient process compared with the case of a conventional porous medium.…”

Characteristics of Valadares Island aquifer, Paranaguá coastal plain, Brazil

“…Well screens are fitted for 3 m at a depth of 9 m from the surface. By providing the actual distances of observation wells from the pumping well and the data on time versus change in water level, different aquifer parameters were determined using the Aquifer Test software (Waterloo Hydrogeologic Inc.) by Theis (1935), Neuman (1972) and Moench (1993) methods. Three sets of values were received (Table 1) from the pumping test data.…”

The impact of paleo-channel on groundwater contamination, Andhra Pradesh, India

“…Thus, these tests determine the response of the aquifer for the particular time of year when the tests were performed. The pumping test data of the bore wells were evaluated using the Theis (1935) and Jacob (1946) recovery methods. The test data of dug wells were analysed by the methodology of Papadopulos and Cooper (1967).…”