Suppose you are analyzing the soil type of silty clay. Matric head observations from tensiometers at two depths were taken at two different times as indicated below: a) Compute the volumetric soil moisture for each depth and observed time. b) Compute the piezometric head at each depth and observed time. Use the surface as the datum for z=0. c) What is the direction of flow (upward or downward) for each observed time? Justify your answer. How, if at all, would your answer change if a different datum were used. Explain your answer. d) A special case in the unsaturated zone is hydrostatic conditions (i.e. equal to the case where the Darcy flux is equal to zero). For this special case, derive an expression for the matric head gradient (i.e. d/dz ). Suppose you are analyzing the soil type of silty clay. Matric head observations from tensiometers at two depths were taken at two different times as indicated below: a) Compute the volumetric soil moisture for each depth and observed time. b) Compute the piezometric head at each depth and observed time. Use the surface as the datum for z=0. c) What is the direction of flow (upward or downward) for each observed time? Justify your answer. How, if at all, would your answer change if a different datum were used. Explain your answer. d) A special case in the unsaturated zone is hydrostatic conditions (i.e. equal to the case where the Darcy flux is equal to zero). For this special case, derive an expression for the matric head gradient (i.e. d/dz )