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test 1
porosity and permeability
22
Engineering
Undergraduate 2
02/17/2013

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Term
porosity Φ
Definition

the measure of void space in a rock

 

Φ=pore volume/bulk volume = Vp/V= (Vb-Vg)/Vb 

 

where Vg= grain volume

Term
density ρ
Definition

ρ=m/v

 

bulk density, ρb

grain density, ρg

Term
relationship between porosity and density
Definition
Term
mineral densities
Definition

grams/cm^3

 

quarts=2.65

calcite=2.71

clay (avg)=2.57

Term
how to measure total porosity
Definition
  1. measure the bulk volume (Vb)
  2. crush the sample to measure the grain volume 
  3. use formulate Vp=Vb-Vg to estimate pore volume
  4. divide pore volume by bulk volume
Term
effective porosity
Definition
the connectivity of porosity in a rock
Term
how to measure effective porosity
Definition
  1. inject a gas or liquid into the rock after measuring bulk volume
  2. the gas or liquid only goes where teh porosity is connected
  3. dreain the gas or liquid, then measure the volume of it, and that equals pore volume
Term
free porosity
Definition

the largest inscribed circle within a pore space

 

free porosity<porosity

Term
factors controlling porosity
Definition

grain size

grain shape

grain packing and distribution

cementation

compaction

 

Term
pore size vs grain size
Definition
pore size is smaller than grain size by a factor of 5-10
Term
direct methods for measuring porosity
Definition
  1. measurement of bulk and grain volume
  2. optical method: use of petrographic thin section analysis
  3. imbibition method: imbibing fluid into the pore space
  4. mercury injection method: forcing non wetting liquid into porespace
  5. gas expansion method: (He or N2)
  6. density method
  7. NMR (proton density)
Term
log based methods for measuring porosity
Definition
  • formation factor
  • micro resistivity logs
  • neutron logs
  • gamma-gamme logs
  • acoustic logs
  • NMR logs
Term

average thermal gradient

 

Definition
1.41°F/100ft = 25.7ºC/km
Term

average surgace temperature

(land and bottom of ocean)

Definition

surface temp: 68ºF

 

ocean bottom: 32ºF

Term
pressure lingo
Definition

lithostatic=overburden=confining

 

fluid=reservoir=pore=formation

Term
saturation
Definition
the fraction of pore volume occupied by a fluid or gas
Term
irreducible water saturation (Swir)
Definition

fraction of the water in the pore space which cannot be produced

 

'bound water'

Term
permeability
Definition

the capacity of a rock to transmit a fluid

 

all factors that control effective porosity also control permeability

 

is affected by the type of clay present

Term
Darcy's law assumptions
Definition
  1. single fluid
  2. no rock fluid interaction
  3. incompressible fluid
  4. laminar flow
Term
definition of a darcy
Definition

a porous materal has k=1 if a pressure difference of 1 atm will produce a flow rate of 1cm^3/sec of a fluid with 1 cP viscosity through a cube having sides 1cm in length

 

k = permeability (darcy)

Term
absolute permeability
Definition

calculated in darcy's equation

 

when the rock is 100% saturated with a single phase (water, oil, or gas)

Term
effective permeability (Keff)
Definition

when two or more fluids coexist in a rock

 

the sum of the effective permeabilittes of all the phases will always be <= the absolute permeability

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