Staple your homework! or 10 pts off. EART 10 - Geologic Principles NAME_____________________ Fall 1995 DARCY'S LAW due date: November 9, 1995 Refer to the text (Hamblin and Christiansen): Discharge and Velocity p. 276 Factors in Streamflow p. 244 Coefficient of permeability (K) for some rock types: igneous rock, unfractured 1 x 10-10 cm/s igneous rock, fractured 1 x 10-3 cm/s sandstone 1 x 10-6 cm/sA person illegally dumps a large quantity of pollutant at point A in the figure above. For the following problems, assume that groundwater flows parallel to the hillside. Give answers for rates in cm/s and for time in years. Show all work on a separate piece of paper that you will turn in with this answer sheet. PART A Calculate the rate of flow (Q/A) and how long (t) it will take the pollutant to travel to point B if the hillside is composed of: 1. unfracture igneous rock 2. fractured igneous rock 3. sandstone Show your work on a separate paper and put your answers in the table below. unfractured fractured sandstone igneous rock igneous rock 5 X 10-11 5.0 X 10 -7 5.0 X 10 -4 Q/A (cm/s) __________ __________ _________ 5.65 X 10 8 5.65 X 10 4 5.65 X 10 1 t (years) __________ __________ __________ What is the effect of rock permeability (K) on the rate of flow? ÒRate of flow increases with inreasing permeability.Ó _____________________________________________________________ PART B Calculate the rate of flow (Q/A) and the time (t) it takes the pollutant to travel to point B through sandstone given that the slope of the angle ABC is: 1. 14.0 degrees 2. 26.6 degrees 3. 36.9 degrees Show your work on a separate paper and put your answers in the table below. Note: Length B-C is constant, however length A-C will vary with slope. 14.0 degrees 26.6 degrees 36.9 degrees 2.5 X 10-7 5.0 X 10-7 7.5 X 10-7 Q/A (cm/s) ______ _____ _____ 105,000 y 56,000 y 42,000 years t (years) ______ _____ _____ What is the effect of slope (hydraulic gradient) on the rate of flow? "Rate of flow increases with increasing gradient." ____________________________________________________________