The soil in a polder consists of a clay layer of 5m thickness, with aporosity of 50%, on top of a deep layer of stiff sand. The water level in the clay islowered by 1.5 m. Experience indicates that then the porosity of the clay is reducedto 40%. What is the subsidence of the soil?

Respuesta :

Answer:

subsidence  of the soil = 0.85 meter

Explanation:

given data  

clay layer thickness T =  5 m

porosity = 50%

water level = 1.5 m

porosity reduced = 40%

solution

first we get here initial void ratio that is express as

void ratio e = [tex]\frac{n}{1-n}[/tex]   ................1

here n is porosity

e1  = [tex]\frac{0.5}{1-0.5}[/tex]  

e1 = 1

and  

when water level rise 1.5 m than void ratio e will be

e2  = [tex]\frac{0.40}{1-0.40}[/tex]

e2  = 0.66

and now subsidence will be

subsidence = T × [tex]\frac{e1-e2}{e1+1}[/tex]  

subsidence = 5 × [tex]\frac{1-0.66}{1+1}[/tex]

subsidence  of the soil = 0.85 meter

Answer:

its c

Explanation: