Rule of transient phreatic flow subjected to vertical and horizontal seepage

Abstract

In a semi-infinite aquifer bounded by a channel, a transient flow model is constructed for phreatic water subjected to vertical and horizontal seepage. Based on the first linearized Boussinesq equation, the analytical solution of the model is obtained by Laplace transform. Having proven the transformation between the analytical solution and some relevant classic formulas, suitable condition for each of these formulas is demonstrated. On the base of the solution, the variation of transient flow process caused by the variables, such as vertical infiltration intensity, fluctuation range of river stage, aquifer parameters such as transmissivity and specific yield, and the distance from calculating point to channel boundary, are analyzed quantitatively one by one. Lagging effect will happen to the time, when phreatic water gets its maximum fluctuation velocity, response to the varying of the variables stated above. The condition for some variables to form equivalent lagging effect is demonstrated. Corresponding to the mathematical characteristics of the analytical solution, the physical implication and the fluctuation rule of groundwater level are discussed.

Impact of Xiaolangdi Reservoir on the Evolution of Water Infiltration Influence Zones of the Secondary Perched Reach of the Lower Yellow River

“…= 5‰, this point is considered the critical point of the sweep. The distance from this critical point to the shoreline is defined as the sweep range (X) [33]. Specific values can be obtained using the following equation, which shows that as the duration of time (t) increases, the influence range (X) also extends further:…”

“…According to the classification criteria of wet, normal, and dry years, the runoff was divided into four distinct periods: 1980-1994 was categorized as the wet year period, 1995-2002 was the dry year period, 2003-2011 was the normal year period, and 2012-2017 was another dry year period (Figure 5). from this critical point to the shoreline is defined as the sweep range (𝑋) [33]. Specific values can be obtained using the following equation, which shows that as the duration of time (𝑡) increases, the influence range (𝑋) also extends further:…”

Simple Slope Stabilization on Quartz Sandstone using Horizontal Drain

“…The previous research about the flow behavior has been conducted; it explained the vertical and horizontal seepages and their relationship to channel presence [1]. The groundwater will flow most rapidly through material with the greatest hydraulic conductivity to a place with the lower flow potential.…”