12:166, Zhang

Spring, 2002

 

Lecture on

Porosity, Specific Yield and Aquifer

 


· Porosity

 


                                                VV : the void volume                   rb : the bulk density

                                V : the total volume                    rd : the solid particle density

 

Factors affecting porosity

Particle shape and arrangement, Sorting, Compaction, Cementation, Fracturing, and Solution

Porosity of Various Sediments

 

· Effective (or Kinematic) Porosity

ne : Percentage of interconnected pore space

 


· Void Ratio

 


Where Vs :  the solid particle volume

Relationship between e and n:      e=n/(1-n) or n=e/(1+e)

 


· Specific Yield

 


Vy:   the volume of water drained under gravity

Specific Yield of sediments (Table 4.2)


 


· Specific Retention

 

Vr:   the volume of water retained against gravity

Note:   n=Sy + Sr

 


· Degree of Saturation

 


VW:   the volume of the contained water

 

· Aquifer and Aquitard

 

Aquifer) contains and transmits water at rates fast enough.

                                Unconfined or Water-Table Aquifer

                Confined or Artesian Aquifer

Aquitard   contains water but transmits it slowly.

Aquiclude contains water but does not transmit it.

Aquifuge   neither contains nor transmits water.

 

Reading: Section 3.1 – 3.3 of the text (p. 66-81)

Optional homework is on the back. You will get some bonus if you submit it before next Fri., Feb. 8.

 

 

 

 

 

12:166, Zhang

Spring, 2002

 

 

 

Optional Homework

 

 

1.      Based on the definition of porosity, i.e., n = Vv/VT, derive n = 1- rb/rs.

 

2.      Calculate porosity for the cubic packing and rhombohedral packing (Figure 3.1). Show your calculation step by step.

 

3.      Provided that you have an oven and a balance or other weighting equipment, how would you measure the porosity of an alluvium sample in your kitchen? Describe your procedure step by step.

 

4.      Do it in your kitchen.