🌊 Geology · Hydrogeology

Geology tricks that make groundwater click

Aquifers, Darcy's Law, wells, groundwater flow, and contamination β€” mastered.

🌊 Hydrogeology

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Aquifer Types
Confined aquifer: bounded above by aquitard β€” artesian pressure. Unconfined: water table is upper boundary. 'Unconfined = open to sky.'
Aquifer Types
Two fundamentally different groundwater systems β€” with very different behavior and vulnerability
Unconfined (water table) aquifer: upper boundary is the water table β€” free to rise and fall. Directly recharged by precipitation above. Vulnerable to surface contamination. Confined aquifer: bounded above AND below by aquitards (low permeability layers β€” clay, unfractured rock). Water under artesian pressure β€” if pressure head above ground surface β†’ flowing artesian well. Recharge area: where confined aquifer is exposed at surface (often far from well). Perched aquifer: small unconfined aquifer above main water table, separated by unsaturated zone and local aquitard. Aquiclude: impermeable β€” no flow. Aquitard: low permeability β€” some flow. Aquifuge: neither stores nor transmits water.
Unconfined
Water table = upper boundary β€” vulnerable
Confined
Aquitard above β€” artesian pressure
Artesian
Pressure head above ground β€” flows without pumping
Perched
Small local aquifer above main water table
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πŸƒ Aquifer Types
Confined vs unconfined aquifers?
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πŸƒ Answer
Confined aquifer: bounded above by aquitard β€” artesian pressure. Unconfined: water table is upper boundary. 'Unconfined = open to sky.'
UnconfinedWater table = upper boundary β€” vulnerable
ConfinedAquitard above β€” artesian pressure
ArtesianPressure head above ground β€” flows without pumping
PerchedSmall local aquifer above main water table
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Darcy's Law
Darcy's Law: Q = K x i x A (Q=flow rate, K=hydraulic conductivity, i=hydraulic gradient, A=cross-sectional area). Flow = hydraulic conductivity Γ— hydraulic gradient Γ— area. 'Groundwater flows down the gradient.'
Darcy's Law
The fundamental equation of groundwater flow β€” derived experimentally by Henri Darcy in 1856
Q = K Γ— i Γ— A. Q: volumetric flow rate (mΒ³/s). K: hydraulic conductivity β€” property of material (m/s). Clay: 10⁻⁹ m/s. Sand: 10⁻⁡ to 10⁻³ m/s. Gravel: 10⁻² m/s. i: hydraulic gradient = Ξ”h/Ξ”L (head loss / distance) β€” dimensionless. A: cross-sectional area (mΒ²). Darcy velocity (q = Q/A = Ki): apparent velocity through entire cross-section. Seepage velocity (v = q/n): actual velocity through pore spaces β€” faster. n = porosity. Darcy's Law assumes: laminar flow (valid for most groundwater), saturated conditions, homogeneous material. Transmissivity (T = K Γ— b): hydraulic conductivity Γ— saturated thickness β€” aquifer productivity.
Q
Volumetric flow rate
K
Hydraulic conductivity β€” material property
i
Hydraulic gradient β€” Ξ”h/Ξ”L
A
Cross-sectional area
Seepage v
Q/(nΓ—A) β€” actual pore velocity
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πŸƒ Darcy's Law
Darcy's Law β€” the formula?
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πŸƒ Answer
Darcy's Law: Q = K x i x A (Q=flow rate, K=hydraulic conductivity, i=hydraulic gradient, A=cross-sectional area). Flow = hydraulic conductivity Γ— hydraulic gradient Γ— area. 'Groundwater flows down the gradient.'
QVolumetric flow rate
KHydraulic conductivity β€” material property
iHydraulic gradient β€” Ξ”h/Ξ”L
ACross-sectional area
Seepage vQ/(nΓ—A) β€” actual pore velocity
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Hydraulic Head
Hydraulic head: h = z + ψ. Elevation head + pressure head. Groundwater flows from HIGH head to LOW head β€” always.
Hydraulic Head
The energy concept that drives all groundwater movement
Total hydraulic head (h): h = z + ψ. z = elevation head (potential energy from position). ψ = pressure head (pressure energy from water column height). Groundwater flows from high head to low head (energy gradient). Piezometer: tube open at bottom in aquifer β€” water rises to hydraulic head level. Water table: surface where pressure head = 0 (atmospheric pressure). Potentiometric surface: imaginary surface representing hydraulic head in confined aquifer β€” above the aquifer top. If potentiometric surface above ground β†’ artesian well flows without pumping. Equipotential lines: connect points of equal head. Flowlines: perpendicular to equipotentials. Flow net: grid of equipotentials + flowlines.
h
Total hydraulic head
z
Elevation head β€” position energy
ψ
Pressure head β€” pressure energy
Flow direction
High head β†’ low head always
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πŸƒ Hydraulic Head
Hydraulic head β€” and which way does groundwater flow?
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πŸƒ Answer
Hydraulic head: h = z + ψ. Elevation head + pressure head. Groundwater flows from HIGH head to LOW head β€” always.
hTotal hydraulic head
zElevation head β€” position energy
ψPressure head β€” pressure energy
Flow directionHigh head β†’ low head always
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Porosity and Permeability
Porosity: fraction of void space (n = Vv/Vt). Permeability: ease of flow. High porosity β‰  high permeability (clay paradox).
Porosity and Permeability
Two key aquifer properties β€” and why they don't always go together
Porosity (n): fraction of total volume that is void space. Primary: intergranular (sand, gravel) or intragranular. Secondary: fractures, dissolution cavities (karst). Total porosity vs effective porosity: some water held by capillary forces can't drain β€” specific yield = drainable porosity. Values: gravel 25–40%, sand 25–50%, clay 40–70% (high!), granite 0–5%. Permeability (k): intrinsic property of material β€” depends on pore size and connectivity. Hydraulic conductivity (K) = k Γ— ρg/ΞΌ β€” depends on fluid too. Clay paradox: high porosity but very low permeability (tiny, poorly connected pores) β€” excellent aquitard. Karst: secondary porosity from dissolution β†’ very high permeability.
Porosity
Void fraction β€” how much water stored
Permeability
Ease of flow β€” pore size and connectivity
Clay
High porosity BUT low permeability
Karst
Dissolution cavities β€” very high permeability
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πŸƒ Porosity and Permeability
Porosity vs permeability?
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πŸƒ Answer
Porosity: fraction of void space (n = Vv/Vt). Permeability: ease of flow. High porosity β‰  high permeability (clay paradox).
PorosityVoid fraction β€” how much water stored
PermeabilityEase of flow β€” pore size and connectivity
ClayHigh porosity BUT low permeability
KarstDissolution cavities β€” very high permeability
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Groundwater Flow Systems
Local: shallow, short flow paths. Intermediate: crosses topographic divides. Regional: deep, long flow paths to distant discharge.
Groundwater Flow Systems
Toth's hierarchical flow system β€” from local to regional scales
TΓ³th (1963): nested hierarchy of groundwater flow systems. Local systems: recharge at local highs, discharge at adjacent valleys β€” short flow paths, young water. Intermediate systems: flow crosses one or more topographic divides β€” longer paths, older water. Regional systems: recharge at continental divides, discharge at major valleys or coast β€” very long flow paths, ancient water (thousands of years old). Springs: where flow systems discharge at surface. Gaining streams: groundwater discharges into stream (positive baseflow). Losing streams: stream water recharges groundwater (often in arid regions). Water table configuration mirrors topography at local scale but smoothed. Residence time: local days–years, regional thousands–millions of years.
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πŸƒ Groundwater Flow Systems
Local vs intermediate vs regional flow systems?
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πŸƒ Answer
Local: shallow, short flow paths. Intermediate: crosses topographic divides. Regional: deep, long flow paths to distant discharge.
Groundwater Flow Systems β€” TΓ³th (1963): nested hierarchy of groundwater flow systems. Local systems: recharge at local highs, discharge at adjacent valleys β€” short flow paths, young water. Intermediate systems: flow crosses one or more topographic divides β€” longer paths, older water. Regional systems: recharge at continental divides, discharge at major valleys or coast β€” very long flow paths, ancient water (thousands of years old). Springs: where flow systems discharge at surface. Gaining streams: groundwater discharges into stream (positive baseflow). Losing streams: stream water recharges groundwater (often in arid regions). Water table configuration mirrors topography at local scale but smoothed. Residence time: local days–years, regional thousands–millions of years.
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Well Hydraulics
Pumping well: creates cone of depression. Drawdown = initial head βˆ’ pumped head. Theis equation gives drawdown vs time.
Well Hydraulics
What happens to groundwater when you pump a well β€” the cone of depression
Cone of depression: water table or potentiometric surface lowers around pumping well β€” cone shape. Drawdown (s): initial head minus head during pumping. Radius of influence: distance where drawdown = 0. Theis equation (1935): s = (Q/4Ο€T) Γ— W(u) β€” describes transient drawdown. Assumptions: homogeneous, isotropic, infinite, confined aquifer; fully penetrating well. Cooper-Jacob simplification: valid for large t. Pumping test: pump at constant rate, measure drawdown in observation wells β†’ determine T and S. Storativity (S): volume of water released per unit area per unit head decline. Confined: S = 10⁻⁡ to 10⁻³ (water released by aquifer compression). Unconfined: Sy = 0.1–0.3 (gravity drainage).
Cone of depression
Water table lowers around pumping well
Drawdown
Initial head minus pumped head
T
Transmissivity β€” K Γ— saturated thickness
S
Storativity β€” water released per area per head drop
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πŸƒ Well Hydraulics
Pumping wells β€” cone of depression and drawdown?
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πŸƒ Answer
Pumping well: creates cone of depression. Drawdown = initial head βˆ’ pumped head. Theis equation gives drawdown vs time.
Cone of depressionWater table lowers around pumping well
DrawdownInitial head minus pumped head
TTransmissivity β€” K Γ— saturated thickness
SStorativity β€” water released per area per head drop
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Groundwater Contamination
Contaminant plume flows with groundwater. DNAPLs (Dense Non-Aqueous Phase Liquids) sink (chlorinated solvents). LNAPLs float (gasoline). Pump and treat is slow.
Groundwater Contamination
How pollutants move in groundwater β€” and why cleanup is so difficult
Sources: leaking underground storage tanks (USTs), landfills, septic systems, agricultural chemicals, industrial sites. Plume: contaminant spreads downgradient from source β€” shaped by flow field and dispersion. LNAPLs (Light Non-Aqueous Phase Liquids): gasoline, diesel β€” float on water table. DNAPLs (Dense Non-Aqueous Phase Liquids): chlorinated solvents (TCE (trichloroethylene), PCE (perchloroethylene)), creosote β€” sink through aquifer, pool at bottom β†’ most difficult to remediate. Sorption: contaminants attach to aquifer solids β†’ retardation factor. Biodegradation: natural attenuation. Pump and treat: extract contaminated water, treat at surface β€” slow, rarely achieves cleanup goals. In-situ remediation: inject oxidants, reductants, or microbes. Permeable reactive barrier: intercepts plume.
LNAPLs
Light β€” float (gasoline, oil)
DNAPLs
Dense β€” sink (TCE, PCE β€” solvents)
Plume
Flows downgradient from source
Pump & treat
Standard but slow β€” rarely fully cleans up
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πŸƒ Groundwater Contamination
DNAPLs vs LNAPLs?
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πŸƒ Answer
Contaminant plume flows with groundwater. DNAPLs (Dense Non-Aqueous Phase Liquids) sink (chlorinated solvents). LNAPLs float (gasoline). Pump and treat is slow.
LNAPLsLight β€” float (gasoline, oil)
DNAPLsDense β€” sink (TCE, PCE β€” solvents)
PlumeFlows downgradient from source
Pump & treatStandard but slow β€” rarely fully cleans up
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Groundwater Recharge
Recharge: water added to aquifer. Direct (diffuse): through unsaturated zone. Focused: through streambeds, sinkholes, fractures.
Groundwater Recharge
How aquifers are replenished β€” and why overdraft is a global crisis
Recharge: water that percolates through unsaturated zone to reach water table. Direct (diffuse) recharge: distributed over area β€” through soil and vadose zone. Focused recharge: concentrated in specific locations β€” stream channels, sinkholes, irrigation canals. Recharge rates: arid regions 1–5 mm/yr; humid regions 100–300 mm/yr. Vadose zone (unsaturated zone): between land surface and water table β€” complex flow and storage. Aquifer depletion: pumping > recharge β†’ water table falls (Ogallala/High Plains aquifer declining 30 cm/yr in some areas). Land subsidence: over-pumping compacts clay layers β€” irreversible (Central Valley CA, Mexico City). Managed aquifer recharge (MAR (Managed Aquifer Recharge)): intentionally recharge aquifer with surface water, treated wastewater.
Direct recharge
Diffuse through soil β€” most common
Focused recharge
Streams, sinkholes, fractures
Ogallala
Great Plains β€” declining rapidly
Subsidence
Irreversible compaction from over-pumping
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πŸƒ Groundwater Recharge
Groundwater recharge β€” the two types?
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πŸƒ Answer
Recharge: water added to aquifer. Direct (diffuse): through unsaturated zone. Focused: through streambeds, sinkholes, fractures.
Direct rechargeDiffuse through soil β€” most common
Focused rechargeStreams, sinkholes, fractures
OgallalaGreat Plains β€” declining rapidly
SubsidenceIrreversible compaction from over-pumping
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Karst Hydrogeology
Karst: dissolution of carbonate rock (limestone, dolomite) β†’ caves, sinkholes, springs. Turbulent flow β€” Darcy's Law does NOT apply.
Karst Hydrogeology
Dissolution-controlled groundwater systems β€” fast flow, high vulnerability, spectacular landscapes
Karst: dissolution of soluble rock (limestone, dolomite, evaporites) by slightly acidic groundwater (COβ‚‚ + Hβ‚‚O β†’ Hβ‚‚CO₃). Landforms: sinkholes (dolines), caves, dry valleys, disappearing streams, large springs. Flow: through conduits β†’ turbulent flow β†’ Darcy's Law invalid. Rapid flow: tracer dyes move km/day (vs m/year in porous media). Florida: ~90% of drinking water from karst aquifer (Floridan). Edwards Aquifer (TX): supports endangered species, critical water supply. Vulnerability: no natural filtration β†’ surface contamination rapidly reaches wells and springs. Sinkhole collapse: sudden subsidence over dissolving limestone β€” hazard in Florida, Missouri, Pennsylvania. UNESCO World Heritage karst: Carlsbad Caverns, Mammoth Cave, Guilin (China).
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πŸƒ Karst Hydrogeology
Karst β€” how does it form, and why doesn't Darcy's Law apply?
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πŸƒ Answer
Karst: dissolution of carbonate rock (limestone, dolomite) β†’ caves, sinkholes, springs. Turbulent flow β€” Darcy's Law does NOT apply.
Karst Hydrogeology β€” Karst: dissolution of soluble rock (limestone, dolomite, evaporites) by slightly acidic groundwater (COβ‚‚ + Hβ‚‚O β†’ Hβ‚‚CO₃). Landforms: sinkholes (dolines), caves, dry valleys, disappearing streams, large springs. Flow: through conduits β†’ turbulent flow β†’ Darcy's Law invalid. Rapid flow: tracer dyes move km/day (vs m/year in porous media). Florida: ~90% of drinking water from karst aquifer (Floridan). Edwards Aquifer (TX): supports endangered species, critical water supply. Vulnerability: no natural filtration β†’ surface contamination rapidly reaches wells and springs. Sinkhole collapse: sudden subsidence over dissolving limestone β€” hazard in Florida, Missouri, Pennsylvania. UNESCO World Heritage karst: Carlsbad Caverns, Mammoth Cave, Guilin (China).
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Isotopes in Hydrogeology
Tritium (Β³H): bomb pulse tracer β€” pre-1952 water is old. ¹⁴C: dates groundwater 1,000–40,000 years. ¹⁸O/Β²H: identifies recharge source.
Isotopic Tracers in Groundwater
Environmental isotopes as natural tracers of groundwater age, origin, and flow paths
Stable isotopes: ¹⁸O and Β²H (deuterium) β€” meteoric water line (MWL (Meteoric Water Line)). Depleted values (more negative δ¹⁸O): colder/higher elevation recharge. Enriched: warmer/lower. Identifies recharge elevation and season. Radiogenic isotopes: Tritium (Β³H, half-life 12.3 yr): bomb pulse (1952–1963 nuclear testing) β€” presence = post-1952 recharge, absence = pre-bomb (old water). ¹⁴C (half-life 5,730 yr): dates groundwater 1,000–40,000 years. Dead carbon correction needed. ³⁢Cl: million-year timescales (Great Artesian Basin β€” 1+ million years old). Noble gases (He, Ne, Ar): recharge temperature, excess air. CFCs and SF₆: date recent groundwater (1940s–present). Age dating helps: sustainable yield, contamination vulnerability, paleoclimate reconstruction.
Β³H (tritium)
Bomb pulse β€” present = post-1952 recharge
¹⁴C
1,000–40,000 year dating
¹⁸O / ²H
Recharge elevation and temperature
CFCs/SF₆
1940s–present dating
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πŸƒ Isotopes in Hydrogeology
Isotopic tracers β€” tritium, carbon-14, oxygen-18?
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πŸƒ Answer
Tritium (Β³H): bomb pulse tracer β€” pre-1952 water is old. ¹⁴C: dates groundwater 1,000–40,000 years. ¹⁸O/Β²H: identifies recharge source.
Β³H (tritium)Bomb pulse β€” present = post-1952 recharge
¹⁴C1,000–40,000 year dating
¹⁸O / ²HRecharge elevation and temperature
CFCs/SF₆1940s–present dating
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Groundwater and Society
Groundwater: 50% of global drinking water, 40% of irrigation. Ogallala depletion, arsenic in Bangladesh, saltwater intrusion in coastal cities.
Groundwater and Society
The global importance of groundwater β€” and the crises threatening it
Global significance: 2 billion people depend on groundwater for drinking water. 40% of global irrigation from groundwater. Ogallala (High Plains) Aquifer: one of world's largest β€” irrigates 30% of US groundwater-irrigated cropland, declining rapidly (recharged in Pleistocene β€” fossil water). Arsenic crisis: Bangladesh, India β€” millions drinking naturally arsenic-rich groundwater β†’ cancer, skin lesions. Fluoride: East Africa, India β€” naturally elevated in some aquifers β†’ dental/skeletal fluorosis. Saltwater intrusion: coastal cities over-pump β†’ seawater intrudes (Miami, Jakarta, Chennai). Land subsidence: Jakarta sinking 25 cm/yr β†’ relocating capital. Solutions: MAR, water recycling, demand reduction, conjunctive use (surface + groundwater management).
Ogallala
Fossil water β€” depleting, slow recharge
Arsenic
Bangladesh β€” natural, affects millions
Saltwater
Coastal over-pumping β†’ seawater intrusion
Subsidence
Jakarta 25 cm/yr β€” Jakarta relocating
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πŸƒ Groundwater and Society
Groundwater and society β€” how much we rely on it, and the problems?
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πŸƒ Answer
Groundwater: 50% of global drinking water, 40% of irrigation. Ogallala depletion, arsenic in Bangladesh, saltwater intrusion in coastal cities.
OgallalaFossil water β€” depleting, slow recharge
ArsenicBangladesh β€” natural, affects millions
SaltwaterCoastal over-pumping β†’ seawater intrusion
SubsidenceJakarta 25 cm/yr β€” Jakarta relocating
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Groundwater-Surface Water Interaction
Gaining stream: groundwater feeds stream. Losing stream: stream feeds groundwater. Hyporheic zone: where they mix.
Groundwater-Surface Water Exchange
The dynamic exchange between rivers and aquifers β€” critical for ecology and water management
Gaining (effluent) stream: water table above stream level β†’ groundwater discharges into stream β†’ baseflow. Losing (influent) stream: stream stage above water table β†’ stream recharges groundwater. Common in arid regions, losing streams in upper reaches often become gaining in lower reaches. Hyporheic zone: subsurface area where stream water and groundwater actively mix β€” ecologically vital (spawning habitat, temperature buffering, nutrient cycling). Bank storage: during floods, stream water infiltrates banks β†’ released slowly after flood β†’ extends baseflow recession. Pumping near streams: induced infiltration β€” well draws from stream rather than aquifer (legal issues in prior appropriation states). Baseflow separation: hydrograph technique to separate stormflow from groundwater contribution.
Gaining
GW table above stream β†’ feeds stream
Losing
Stream above GW table β†’ recharges aquifer
Hyporheic
Mixing zone β€” ecologically vital
Bank storage
Flood water stored in banks β†’ released slowly
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πŸƒ Groundwater-Surface Water Interaction
Gaining vs losing streams?
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πŸƒ Answer
Gaining stream: groundwater feeds stream. Losing stream: stream feeds groundwater. Hyporheic zone: where they mix.
GainingGW table above stream β†’ feeds stream
LosingStream above GW table β†’ recharges aquifer
HyporheicMixing zone β€” ecologically vital
Bank storageFlood water stored in banks β†’ released slowly
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