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Groundwater Hydraulics: Well Losses and the Step-Drawdown Test Analysis

 Total drawdown $(s_w)$ observed inside a pumping well consists of two primary components: linear head losses due to laminar aquifer flow, and non-linear head losses caused by turbulent friction near the well screen and pump intake. Jacob’s Well Loss Equation quantifies this relationship:

$s_w = B \cdot Q + C \cdot Q^2$

​Where $Q$ is discharge, $B$ is the aquifer loss coefficient $(B = B_{aquifer} + B_{well, linear})$, and $C$ is the non-linear well loss coefficient.

​Parameters $B$ and $C$ are determined by performing a Step-Drawdown Test, where the well is pumped at increasing discharge steps $(Q_1, Q_2, Q_3, \dots)$. Plotting specific drawdown $(s_w / Q)$ against discharge $(Q)$ yields a straight line with slope $C$ and intercept $B:$

$\frac{s_w}{Q} = B + C \cdot Q$

​Well efficiency $(\eta_w)$ is defined as the ratio of formation loss to total drawdown: $\eta_w = \frac{B \cdot Q}{s_w} \times 100\%.$

​In deep alluvial and hard-rock irrigation tubewells across Northern and Central India, bio-fouling, well screen encrustation, and fine sand ingress cause steep increases in coefficient C, severely lowering well efficiency and increasing electricity costs for farmers.

​Groundwater departments now utilize automated step-drawdown diagnostic software paired with downhole video inspection. When well efficiency drops below $60\%,$ targeted rehabilitation techniques—such as high-pressure hydro-jetting and chemical acidization—are deployed to restore aquifer connectivity and reduce $C \cdot Q^2$ head losses.

​Note: This technical content was curated and structured with AI assistance to support technical education.

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