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Hydrogeology

Geology (B.Sc) · Applied geology · free study notes for exams, placements and interviews

In short

Hydrogeology is the study of the occurrence, movement, quantity, quality and management of water below the ground surface — how rocks store water (porosity, specific yield), how they transmit it (hydraulic conductivity, transmissivity) and how wells respond to pumping. It matters because roughly 60-65% of India's irrigation and about 85% of rural drinking water come from groundwater, and the country is the world's largest groundwater user. The topic is examined in B.Sc/M.Sc applied geology papers, GATE (GG - Geology and Geophysics), UPSC Geologist/Hydrogeologist (CGWB), state PSC and junior-hydrogeologist tests, with marks concentrated in Darcy's law, aquifer parameters and pumping-test analysis. Employers are the Central Ground Water Board, state ground water departments, Jal Jeevan Mission agencies, drilling and consultancy firms (WAPCOS, NABARD-aided projects, mining and cement companies for dewatering and water audits).

Explained

Water in rocks: porosity, aquifer types and vertical zonation

Darcy's law and the aquifer parameters

Well hydraulics and pumping tests

Indian hydrogeological framework, well construction and exploration

Groundwater quality, contamination and saline intrusion

Assessment, recharge, management, law and codes

Key points

Formulas and examples

Darcy's law: Q = K i A; i = Δh/L (dimensionless); K = hydraulic conductivity (m/day); A = cross-sectional area (m²); Q = discharge (m³/day)
Specific discharge / seepage velocity: q = Q/A = K i (m/day); v = q / nₑ, nₑ = effective porosity (fraction)
Porosity and yield: n = Vv/VT; n = Sy + Sr
Permeability: K = k ρ g / μ; k in m² or darcy; ρ = density (kg/m³), μ = dynamic viscosity (Pa·s)
Transmissivity and storativity: T = K b (m²/day); S = Ss b (dimensionless); unconfined S ≈ Sy
Volume of water released (unconfined): V = Sy × Area × Δh (m³)
Thiem, confined steady flow: Q = 2π K b (s₁ − s₂) / ln(r₂/r₁) = 2π T (s₁ − s₂)/ln(r₂/r₁)
Dupuit, unconfined steady flow: Q = π K (h₂² − h₁²) / ln(r₂/r₁)
Theis: s = (Q / 4πT) W(u), u = r² S / (4 T t); s = drawdown (m), t = time (day), r = distance (m)
Cooper-Jacob: T = 2.303 Q / (4π Δs) per log cycle; S = 2.25 T t₀ / r²
Step-drawdown: s = B Q + C Q²; well efficiency = BQ/(BQ + CQ²)
Specific capacity: Sc = Q / s (m³/day per m)
Ghyben-Herzberg: z = [ρf /(ρs − ρf)] h ≈ 40 h; z = interface depth below MSL, h = freshwater head above MSL (m)
Groundwater balance: Recharge − Discharge = ΔS = Sy × A × Δh
Stage of extraction (%) = (annual extraction / annual extractable resource) × 100
Reynolds number (Darcy validity): Re = ρ v d / μ, d = representative grain size

Example 1 - Darcy flow and travel time. A sand aquifer is 20 m thick, 50 m wide across the flow; heads in two piezometers 1,500 m apart differ by 3 m; K = 25 m/day, nₑ = 0.25.

Example 2 - Thiem test on a confined aquifer. Q = 1,500 m³/day steady; aquifer thickness b = 20 m; drawdown 3.0 m at r₁ = 10 m and 1.0 m at r₂ = 100 m.

Example 3 - Cooper-Jacob straight line. Q = 1,000 m³/day; observation well at r = 50 m; semilog plot gives Δs = 0.8 m per log cycle and t₀ = 1.5 minutes.

Example 4 - Resource assessment and category. A block of 100 km² gets 800 mm annual rainfall; rainfall infiltration factor 10%; other recharge (canals, tanks, return flow) 2 MCM; natural discharge allowance 5%; gross extraction 8.0 MCM.

Example 5 - Storage change and sea-water intrusion. (a) In a 10 km² unconfined aquifer with Sy = 0.18, the water table falls 1.2 m in a summer: V = 10 × 10⁶ × 1.2 × 0.18 = 2.16 × 10⁶ m³ = 2.16 MCM removed from storage. (b) In a coastal well field the fresh-water head is 1.5 m above MSL: interface depth z ≈ 40 × 1.5 = 60 m below MSL. If pumping lowers the head to 1.0 m, z becomes 40 m — the interface rises 20 m, and a 60 m deep well now draws saline water.

PropertyConfined aquiferUnconfined aquifer
Upper boundaryImpermeable bedFree water table
Water pressure at topAbove atmosphericAtmospheric
Level measuredPiezometric surfaceWater table
Storage mechanismElastic compression + water expansionGravity drainage of pores
S value10⁻⁵ - 10⁻³0.05 - 0.30 (= Sy)
T during pumpingConstant (b fixed)Decreases (b falls)
Cone of depressionDeep, wide, develops fastShallow, local, develops slowly
RechargeDistant, in the outcrop areaDirectly from above
Test / methodWhat it needsWhat it gives
Thiem (steady)Steady Q, 2 observation wellsK, T
Theis (transient)Q, one observation well, time-drawdownT and S
Cooper-JacobLate-time data, semilog plotT from Δs, S from t₀
Recovery testResidual drawdown after stoppingT (no need for constant Q)
Step-drawdown3-5 pumping ratesWell loss C, efficiency, safe yield
Slug testSingle well, instant head changeK near the well, in low-yield formations

Where it is used

Interview questions

Common mistakes

Related topics

Engineering geology · Geophysical exploration · Natural hazards · Sedimentary petrology and depositional environments · Geochemistry and water-rock interaction · Remote sensing and GIS in geology

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