Groundwater flow
Groundwater fills the pores and fractures of saturated ground below the water table. Layers that store and transmit useful amounts of water are aquifers: unconfined where the water table is free to rise and fall, confined where the aquifer is sealed above and below by less permeable layers and the water is under pressure. In India, groundwater supplies most irrigation and much drinking water, and over-pumping has lowered water tables across many districts.
Flow through an aquifer follows Darcy's law, velocity proportional to hydraulic gradient. Two properties describe an aquifer for well design: transmissivity, the hydraulic conductivity times the saturated thickness, which measures how easily water moves through the whole thickness; and storativity, the volume released per unit area per unit drop in head, which is small for confined aquifers and close to the specific yield for unconfined ones.
When a well pumps, the water level around it falls in a cone of depression. Under steady conditions, the Thiem equation relates the discharge to the drawdowns at two observation wells for a confined aquifer, and Dupuit's version handles unconfined aquifers using the saturated thickness. Unsteady pumping tests, interpreted by methods such as Theis and Cooper-Jacob, give both transmissivity and storativity.
Groundwater also matters for construction: dewatering excavations, uplift on basements and dams, seepage into tunnels and settlement caused by lowering the water table. Recharge structures, check dams and percolation tanks help restore aquifers.
Use observation wells far enough apart that the drawdown difference is well above measurement error.
Confined (Thiem): Q = 2π K b (s₁ − s₂) / ln(r₂ / r₁)Unconfined (Dupuit-Thiem): Q = π K (h₂² − h₁²) / ln(r₂ / r₁)Transmissivity T = K b
Using the unconfined formula for a confined aquifer or mixing up radii and drawdowns.
Problem. A confined aquifer 20 m thick has K = 30 m/day. In steady pumping, observation wells at 10 m and 100 m show drawdowns of 3.0 m and 1.0 m. Find the well discharge.
- T = K b = 30 × 20 = 600 m²/day.
- Q = 2π × 600 × (3.0 − 1.0) / ln(100 / 10) = 7 540 / 2.303.
- Q = 3 274 m³/day, about 0.038 m³/s.
Answer. About 3 270 m³ per day
Quick quiz
1What is transmissivity?
Hydraulic conductivity times saturated thickness.
2How does a confined aquifer differ from an unconfined one?
It is sealed above and below and the water is under pressure.
3Why can dewatering cause settlement?
It lowers pore pressure and increases effective stress.
- CPHEEO Manual on Water Supply and Treatment (India): Central government manual for planning, design and operation of public water supply.
Cited by number and clause only. We do not reproduce clause text, tables or figures (BIS Act 2016, s.10(5) and s.11). Check the current edition and amendments before use.
References and further reading
Standard texts, listed in no order of merit. We do not copy text, figures, tables or solved problems from any book; our explanations and examples are original.
- K. Subramanya, Engineering Hydrology, McGraw Hill Education (India), latest edition.
- V. T. Chow, D. R. Maidment, L. W. Mays, Applied Hydrology, McGraw Hill, 1988.
Free and official sources
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