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33 Cards in this Set

  • Front
  • Back

Bernoulli's equation with soils

velocity head = 0

Head Losses in soils

Water loses energy as it moves around soil particles

Differences in head...

are required for flow

Hydrostatic Pore Pressure

Water pressure in soil voids due to pressure head or energy

No flow

Water in soil is static or quasi-static "hydrostatic conditions"

Steady flow

Flow conditions assumed

Transient flow

Flow conditions change over time

Darcy's Law describes the relationship between

Hydraulic conductivity (permeability)


Head loss and gradient


Flow geometry (size of flow path)


Flow rate/velocity

Permeability (hydraulic conductivity)

-Soil/fluid property


-Depends on:


nature of the soil


grain size distribution


fluid properties

Hydraulic gradient

Fluids flow down gradient (from higher head to lower head)

Velocity

Darcy velocity (flow velocity)




Seepage velocity (velocity of water through pores)

Factors Influencing Permeability

-Viscocity of fluid


-Size and continuity of pore spaces or joints


-Size, surface roughness, and shape of soil particles


-Soil void ratio


-Soil fabric


-Presence of discontinuities


-Degree of saturation

The smallest particles in a soil mass...

control permeability

Fines content...

has a greater influence on permeability than density

Indirect methods to determine k

-no measurement of k


-assume soil is isotropic



Hazen's Equation details

-k is in [cm/s]


-C = 100 if D10 is in cm


-C = 1 if D10 is in mm



Use Hazen's Equation

-for clean, saturated, poorly graded fine sands (SP)


- Cu < 5


- 0.1 mm < D10 < 0.3 mm

Kozeny-Carman Equation details

- Specific surface assumes that the soil is spherical


- Ss = 6/D10


- Equation must be dimensionally correct

Direct Methods to determine k

- Constant Head Permeability Test


- Falling Head Permeability Test

Constant Head Permeability Test

- Inlet and outlet that keeps the head constant while water flows through the soil



Falling Head Permeability Test

- There is a standpipe where you can measure the change in head as water flows through the soil

Temperature Correction

- Accounts for variation in viscosity


- standard temperature is 20 degrees celcius


- corrected by ratio of viscosities

Potential problems with direct measurement methods

-lab samples may not be fully saturated


-stratification of the soil mass - anisotropy


-soil fabric in the lab sample is not the same as the field due to sampling disturbance


-relative density of the soil mass


-the small lab sample may not be representative


-we do not simulate the density, stress conditions or soil fabric of the in-situ soil


-we measure vertical permeability when flow in the ground is horizontal


-flow could occur along the boundary of the permeability cell

Direct methods to determine k (field tests)

Advantage: Testing a large volume of soil




- Borehole Piezometer Test


- Pump Test

Borehold Piezometer Test

- Measure the natural water level in the borehole


- Either raise the water level (fill a standpipe), or bail out the hole


- Determine the time it takes for the water to return to the original level

Pump Test

Most accurate and most expensive




- Pump water out of a large discharge well


- Measure the water level in observation wells spaced at distance from the pumping well


- At steady state, measure water drawdown in discharge well

Flow through stratified soil

Find system equivalent k based on 2 or more k's

Aquifer

Layer of water bearing soil (e.g. sand, silt) or rock




Permeable enough for water flow and extraction by pumping from a well

Confined Aquifer

Impermeable layer above and below permeable layer

Confined Aquifer - Artesian Condition

Impermeable layer above and below permeable surface




Piezometric level above ground surface


-Total head is above ground water surface


-Water flows out of wells and boreholes

Perched Aquifer

A isolated aquifer that rests on a small impermeable layer (aquitard)

Capillarity

Rise of free surface due to surface tension between the fluid (water) and the soil grains




Primarily a fine-grained soil phenomenon

Capillarity Equation details

hc = (3 x 10^-5) /d [m]




d = 20% (D10) [m]