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Landslides induced by rainfall
After rainfall, groundwater pressure is built up and this elevates ground water table. Water inside the pores of soil reducesthe effective stress of soils. As shear strength of soils is represented by the subsequent relations:
Shear strength = cohesion + effective stress x tan where Φ is the friction angle of soils
Therefore the presence of water causes a decrease of shear strength of soils and this may lead to landslide. Instead rainfall creates immediate instability by causing erosion of slop surface and results in shallow slope failure by infiltration. Additionally the rain may penetrate slope surface openings and forms flow paths. Consequently this may weaken the ground.
Using Laplace transfom, the following differential equation d y dy dt reduces to the algebraic equation of the form Resolve y(s) into partial fractions
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