hydrogeology midterm 1

aquifer

aquifer

a geologic unit that stores and transmits water

aquitard

a geologic unit that doesn’t transmit water

saturated zone / phreatic zone

below water table, consists of water and rocks

water table

top of the saturated zones, surface in unconfined aquifer where pore pressure is atmospheric

confined aquifer

has impermeable boundaries

unconfined aquifer

top boundary is the water table

porosity (n)

ratio of volume of void space to total volume of rock/sediment

permeability (k)

measure of transmission property of rock/sediment and inter connectedness of pores - how easily the water moves through the aquifer

scale dependent

confining unit

geological unit of very low permeability that forms a barrier to groundwater flow

perched aquifer

An aquifer that is located above the main water table, separated by an impermeable layer. It holds water temporarily, often found in hills or elevated areas.

effective porosity

Effective Porosity: The measure of the interconnected void spaces in a rock or soil that can store and transmit fluids. It is the ratio of the volume of the void spaces to the total volume of the material. It determines the ability of a substance to hold and transport fluids, influencing groundwater flow and storage. (total volume excludes dead end pores)

true or false: can have the same total porosity but not the same connectivity or effective porosity

true

controls on inter granular porosity

Controls on intergranular porosity: Factors that influence the amount of space between individual grains in a rock or sediment. These factors include grain size, sorting, compaction (packing), and diagenesis.

controls on inter granular porosity: packing

The process of filling the space between particles in a geologic formation with fine-grained materials, such as clay or silt. This reduces the permeability of the formation, restricting the flow of water through the aquifer. Packing can affect the efficiency of water extraction wells and the movement of contaminants in groundwater.

controls on inter granular porosity: sorting

The process by which sediment particles are separated and classified based on their size and shape. It affects the permeability and porosity of aquifer materials, influencing the flow of groundwater. Well-sorted sediments have particles of similar size, while poorly-sorted sediments have a wide range of sizes.

controls on inter granular porosity: diagenesis

Process of physical and chemical changes that occur to sediment after deposition but before lithification. Involves compaction, cementation, and mineral alteration.

primary porosity

(inter granular) a function of grain size distribution and packing, tends to decreases with depth (weathering, compaction, pressure, diagenesis), at earths surface, tends to increase with decreasing grain size cause clay is fluffy and platy

secondary porosity

Secondary porosity refers to the additional pore spaces that form in rocks after their initial formation. It is created by various processes such as dissolution, fracturing, or deformation. Secondary porosity can enhance the permeability of rocks, allowing fluids to flow more easily through them.

specific yield

ratio of the volume of water a rock or soil will yield by gravity drainage to the total volume of the rock or soil

specific retention

ratio of the volume of water that remains in the soil when allowed to drain to the total volume of the soil

specific discharge or darcy velocity (q)

volume of discharge / unit of specific area - flux, not velocity

Q/A [L/t]

-K(dh/dL)

*not a velocity because it doesn’t account for the porosity of the rock (but called darcy’s velocity)

represents the volume of water that flows through a unit cross sectional area of pours media per unit time.

• in the direction of decreasing h

• independent of porosity

• proportional to the change in hydraulic head given a fixed length of tubing (dL)

discharge or volumetric flux (Q)

volume of flow through a column [L3/t] - water volume moving through sand per unit time - volumetric flow rate

-K(dh/dl)A

hydraulic head (h)

the water level of tubes or wells -.

Hydraulic head (h): Measure of the potential energy of water in a system due to its elevation above a reference point. It determines the direction and rate of groundwater flow.

Z + (P/pg)

Z = elevation head

P/pg = pressure head (P = pressure, p = density)

seepage velocity (v)

actual velocity of water

takes into account the porosity

HIGHER than specific discharge because the water can only pass through the portion of the cross-sectional area that is connected pore space.

q/n = Q/nA

v > q

hydraulic conductivity (K)

a property of the rock and the fluid - fluid properties can change

(k)(p)(g)(u)

k = permeability (rock only)

p = fluid density

g = gravity

u = dynamic viscosity

transmissivity

how easily you can pump water out of an aquifer

Kb

b = aquifer thickness

how to estimate hydraulic conductivity:

permeameter test: do darcy’s experiment using a sediment sample

grain size analysis - empirical grain size relationships

elevation head

The pressure exerted by a column of water due to its height above a reference point. It determines the flow direction of groundwater and affects the movement of contaminants

h - pressure head

elevation - depth of piezometer

pressure head

The vertical distance from a reference point to the groundwater level in a well. It represents the potential energy of the water and is measured in units of length, such as meters or feet.

h - Z

depth of piezometer - depth of water

potentiometric surface

imaginary surface that connects water levels (h) in imaginary wells screened in the same aquifer

uncon: water table is ps

con: ps can be above the land surface (artesian well)

• in absence of flow, surface is flat with no slope

• a sloping surface indicates groundwater is flowing

• the surface must be for a single aquifer

• 2D maps typically assume horizontal flow (equipotential lines are vertical)

• head loss between adjacent contours is equal

equipotential line

lines old constant head

seepage face

the boundary between a saturated flow field and the atmosphere, or between a saturated flow field and a stream channel, where water is free to exit from the subsurface.

forms in unconfined aquifers cause P = Patm along the bank

• elevation varies

• h varies

  • so there’s flow that’s not perpendicular along the vertical bank

Dupuit assumptions

to know where water is at steady state use DA (for steady flow in uncon)

• darcy velocity proportional to dh/dx and not dh/ds (small angle approximation)

• horizontal flow

• flow lines are horizontal and equipotential lines are vertical

• hydraulic gradient equals the slope of the water table

• flow is about the same at all points in a vertical line (ignores seepage face)

uncon - flow has to change as thickness changes (linear in h²)

homogeneous

hydraulic conductivity doesn’t vary in space

heterogeneous

hydraulic conductivity does vary in space (changes with location)

isotropic

hydraulic conductivity does not vary with direction

anisotropic

hydraulic conductivity does vary with direction

speak about how homo/hetero and ani/iso relationship works

what causes heterogeneity

changes in lithology and aquifer thickness

what causes anisotropy

changes in grain shape/orientation, small scale heterogeneity, layering, preferred pathways

effective flow: which is easier, flow parallel to perfect layers or flow perpendicular to perfect layers?

perpendicular

effective properties for flow perpendicular

same Q

effective porosity for parallel flow

hydraulic gradient is the same for all of the layers

list important observations about effective permeability

• layering (hetero) causes effective anisotropy (different K in each direction)

  • in general for any heterogeneity (random, not necessarily layered), effective K is usually somewhere between K harmonic (y dir) and K arithmetic (x dir) = K geometric

what does darcy’s velocity direction depend on in isotropic aquifers?

the hydraulic gradients in each direction. flow follows path of steepest descent and the opposite direction of hydraulic gradient

what does darcy’s velocity direction depend on in anisotropic aquifers?

magnitude of K and the hydraulic gradient in each direction. anisotropy can cause the direction of flow to be different than the direction of the hydraulic gradient

boundary condition: no flow

impermeable barrier, flow lines run parallel to barrier

contact with bedrock (horizontal) or flow divide (vertical)

boundary condition: constant head

head is a known, specified value along the boundary. implies an infinite source/sink of water. flow lines intersect boundary at right angle (boundary is an equipotential)

example: lake or river

boundary conditions: water table

only for unconfined aquifers (usually 2D vertical cores-section). boundary is not a flow line or an equipotential. head is known but variable along the boundary. if there is no other recharge/discharge, flow lines are parallel to the boundary, otherwise they are oblique.

flow net rules:

• equipotentials are parallel and never intersect

• flow lines are parallel and never intersect

  • in isotopic media, flow lines are perpendicular to equipotentials

for quantitative flow nets:

• flow lines and equipotentials form curvilinear squares

• streantubes must start and stop at constant head or water table boundaries

  • even if flow speeds up, it would still be constant between tubes

flow nets in heterogeneous systems;

use the same rules except with two exceptions:

• at boundaries between layers, flow lines are refracted

  • for quantitative flow nets: curvilinear squares (with circles) can only be drawn in one layer - I choose the layer. usually easiest to do thickest layer

geologic processes that control regional flow:

• topography: driven by K, heterogeneity, and basin geometry

• free convection: circulation cells and buoyancy (driven by density gradients, quiver thickness, K, and heterogeneity

• tectonic deformation: driven by strain rate, K, heat

• rapid sedimentation: typical in young, low permeability basins with lots of sediments. fluid pressure can approach overburdening the weight of overlying sediments. geotechnical hazards

• fault slip

general observations about groundwater flow systems:

• local relief fives rise to local groundwater systems

• increased depth:wide gives rise to intermediate groundwater flow systems (that surround local flow systems)

  • regional groundwater flow systems have recharge areas at the basin divide and discharge at the valley floor

three most important controlling factors for the flow system:

1. ratio of basin or aquifer depth to extent

2. configuration of the water table: magnitude of undulation affects the scale of flow systems

3. variations in hydraulic conductivity (geologic heterogeneity)

increases rugged terrain = decrease opportunity for regional flow systems

true or false: recharge area is usually much smaller than the discharge area

false

true or false: recharge tends to be relatively distributed in space and slower

true

Gin = Gout

Arqr = Adqd

Ar » Ad

qr « qd

losing stream

lose water to the aquifer - water table is below stream

gaining stream

receive water from the aquifer - water table is above the stream

groundwater-lake interactions: surface water dominated

water table is below the lake. the lake feeds the aquifer

groundwater-lake interactions: groundwater dominated

groundwater discharges into the lake and recharges it

springs

areas of natural discharge where the water table is at or very near the land surface

discharge can be permanent or ephemeral