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b) The results of a constant head permeability test for a fine sand having a diameter of 90 mm and a length of 160 mm are given as follow.  constant head difference  water collected in 7 min void ratio of sand ​=580 mm=470 cm3=0.8​ Determine (i) Hydraulic conductivity in, k in (cm/sec). (4 marks) (ii) Seepage velocity. (4 marks)
EQUATION LIST T=π×cα​×(2D2×L​+6D2​) γ=Vw​W​ ρd​=1+ Ss​W4​​G2​ρw​​ γd​=1+100w(%)​γ​ γd​=1+SGs​w​Gd​Zˉs​​ τ′=c+σn′​tanϕ′ E= M old Volume  Number of Blow/ ayer × Number of Layer × Weig ​ α1​=a3​tan2(45∘+2ϕ​)+2ctan(45∘+2ϕ​) σ3​=σ1​tan2(45∘−2ϕ​)−2ctan(45∘−2ϕ​) σa​=2σ1​+σs​​+2σ1​−σ3​​cos2θqi​=Akαi​i​ τf​=2σ1​−σ3​​sin2θk=Aiq​ k=2.303 Ata L​log= h2​h1​​kka4​​=kd​kx​​ k= AhuQ L​i=LΔh​ k=2.727H(ht​−hr)qlog10​(tr​n​)​k=π(h12​−h22​)2.303qlog11​(t2​n​)​