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what two maps are superimposed to produce a grading plan
existing topographic maps and proposed topographic maps
net import
extra soil needs to be hauled to the site
net export
extra soil needs to be hauled away from the site
balanced earthwork
neither import not export
positive shrinkage factor
net volume decreased
negative shrinkage factor
net volume increased
fluid/water flows from
high total head to low total head
energy is dissipated in overcoming the soil resistance and hence is
the head loss
energy equations used in fluid flow
Bernoulli’s equation, darcy’s law equation
Beroulli’s equation defines
total head
Darcy’s law relates
flow velocity to head loss
what is potential energy from
due to elevation above datum
what is the strain energy from
due to pressure in water
what is the kinetic energy from
due to velocity of water
For flow of water through soils, the _____ is very small.
flow velocity
The the ____ can be neglected
velocity head
water flows only when there is
a total head difference or energy difference
hydraulic gradient
change in total head per unit distance in the direction of flow over which change occurs is called
hydraulic conductivity
coefficient of permeability, k, describes ability of water to flow through soils
factors that hydraulic conductivity depend on
fluid viscosity, grain-size distribution, void ration, soil type, and degree of saturation
four possible systems with repect to spatial and directional variability
isotropic and homogeneous, anisotropic and homogeneous, isotropic and heterogeneous, anisotropic and heterogeneous
most natural systems are
anisotropic and heterogeneous
constant head test is used for
coarse-grained soils
falling head test is used for
fine-grained soils
permeability is the function of
porous media only
hydraulic conductivity is the function of
porus media and the fluid
applications for 2D flow analysis
seepage calculation through earth dams, levees, and other hydraulic structures
seepage quantity
how much water is lost through/under a structure
flow net analysis allows for the evaluation of
seepage quantity, uplift pressures, and piping/erosion failure
soil is completely
staurated
soil is ___ and ____
homogeneous and isotropic
flow line/stream line
line along which water molecules travel from upstream to downstream
equipotential line
line along which the head is constant
Compaction is defined as
densification of soil by removal of air using mechanical energy
on a standard proctor compaction curve, dry unit weight is max at
the optimum moisture content
How does compaction densify soil
by expelling air using mechanical energy, it increases shear strength and erosion resistance while decreasing compressibility and hydraulic conductivity
for a given compaction effort there is an optimum water content at which what is achieved
maximum dry unit weight
dry of optimum, added water lubricates particles and ____ unit weight
increases
wet of optimum, added water displaces solids and ____ unit weight
decreases
compared to the standard proctor test, the modified proctor test uses
a heavier hammer with a larger drop, producing more compactive energy
the modified proctor test uses a heavier hammer and larger drop with the same mold in order to
better represent field conditions for heavy loads like aircraft and trucks (4.5 times the energy of the Standard Proctor test)
As compaction effort increases the compaction curve
shifts up and to the left (higher dry unit weight, lower optimum moisture content)
The zero-air-voids (ZAV) line on a compaction plot represents:
S=100%
For cohesive soils, a typical compacted lift thickness in the field is about
200 mm (8 in)
Going from the borrow (in-situ) condition to the final compacted fill condition, total volume typically
decreases (shrinkage)
In borrow-fill-voulme- change calculations, which quantity is assumed to remain constant across the borrow, transport, and fill states?
weight of solids
borrow soil is typically compacted to a ____ state than its natural condition, so the net change from borrow to fill is a volume decrease “shrinkage”
denser
For flow through soils, which component of total head (Bernoulli’s equation) is typically neglected?
velocity head, because flow velocity through soil is very small, making it negligible
i
hydraulic gradient
within the laminar flow regime, Darcy’s law states that discharge velocity is
proportional to hydraulic gradient
since water can only travel through the void space, the actual seepage velocit through the pores is always ___ than the average discharge velocity
greater
As void ratio (e) decreases, for example, due to compaction, hydraulic conductivity (k) generally:
decreases
what soil type generally has the lowest hydraulic conductivity
clays
For flow perpendicular to soil layering, which statement is true?
The layer with the smallest k has the largest head loss across it
the key difference between permeability (K) and hydraulic conductivity (k) is that
K depends only on the porus media, k depends on both the media and the fluid
why cant darcy’s law be applied directly to solve most 2D groundwater flow problems
Hydraulic gradient (i) and area (A) vary throughout the flow domain
Assumptions underlying Laplace’s equation for 2D flow
soil is homogeneous, soil is isotropic, darcy’s law is valid
A flow net is composed of two orthogonal families of curves. What are they?
Flow lines and equipotential lines
In an isotropic soil, flow lines and equipotential lines intersect at
Right angles (90 degrees), forming curvilinear squares
The boundaries of an impervious layer or impervious structure in a flow net are
flow lines
If the total head loss across a flow net is 9m and there are 10 equipotential drops, the head loss per drop is
0.9 m
Uplift (pore water) pressure at a point beneath a hydraulic structure is calculated as
pressure head (hp) times unit weight of water
If the total uplift force beneath a dam exceeds the structure’s weight (pplus any anchoring resistance), the primary risk is
the dam can float or heave, threatening structural stability