411 Dosya 1334066291
PERMEABILITY HOMEWORK
Problem 1: Assume a vertical cylindrical core filled with water. The length of the core is 1 feet and its radius is 1/12 ft. Water density is 62.428 lb-mass/ft3 and water viscosity is 1 cp. We wish to inject additional water into the bottom of the core and flow water from bottom to top through the core where the top of the core is exposed to the atmosphere, i..e., the pressure at the top of the core is 14.7 psi. What is the minimum pressure required at the bottom of the core in psia so the water will flow from bottom to top.
Problem 2: Consider steady-state linear flow of water through a sand-pack which is inclined downward at an angle of 30 degrees. The density of water is 62.4 lb-mass/ft3, and water viscosity is equal to 1cp. The cross-sectional area of the core is 0.2 ft2. The length of the sand-pack is L=10 ft. We choose a coordinate system so the left end of the core corresponds to l =0 and the right end to l=L=10. Assume that flow is from left to right and that the pressure at the left end is 100 psia. The steady flow rate is 0.0977 BBL/Day. Assume that core permeability is 2000 md. Find the pressure at the right end of the core.
Problem 3: What linear pressure gradient is required to cause a flow of 0.10 cc/sec of 5 cp fluid through arock (assume horizontal system, i.e., z´ is perpendicular to flow direction) having a permeability of 50 md and an area of 5 cm2?
Problem 4: For a linear flow, Darcy’s law in oil field units is written as;
Assume a channel reservoir that is inclined at 30o from horizontal and the pressure at the left end of thechannel is 1000 psia. Find the pressure 2500 ft away going in the uphill direction if the fluid density is 50 lb-mass/ft3 and the fluid is at rest.
Problem 5: Consider a cylindrical sand-packed core of length 10 feet and radius 0.3 feet. Assume that water is injected at the left end l = 0 and produced at the right end (l =10 feet) with the pressure at the right end held constant at 100 psia and
Problem 1: Assume a vertical cylindrical core filled with water. The length of the core is 1 feet and its radius is 1/12 ft. Water density is 62.428 lb-mass/ft3 and water viscosity is 1 cp. We wish to inject additional water into the bottom of the core and flow water from bottom to top through the core where the top of the core is exposed to the atmosphere, i..e., the pressure at the top of the core is 14.7 psi. What is the minimum pressure required at the bottom of the core in psia so the water will flow from bottom to top.
Problem 2: Consider steady-state linear flow of water through a sand-pack which is inclined downward at an angle of 30 degrees. The density of water is 62.4 lb-mass/ft3, and water viscosity is equal to 1cp. The cross-sectional area of the core is 0.2 ft2. The length of the sand-pack is L=10 ft. We choose a coordinate system so the left end of the core corresponds to l =0 and the right end to l=L=10. Assume that flow is from left to right and that the pressure at the left end is 100 psia. The steady flow rate is 0.0977 BBL/Day. Assume that core permeability is 2000 md. Find the pressure at the right end of the core.
Problem 3: What linear pressure gradient is required to cause a flow of 0.10 cc/sec of 5 cp fluid through arock (assume horizontal system, i.e., z´ is perpendicular to flow direction) having a permeability of 50 md and an area of 5 cm2?
Problem 4: For a linear flow, Darcy’s law in oil field units is written as;
Assume a channel reservoir that is inclined at 30o from horizontal and the pressure at the left end of thechannel is 1000 psia. Find the pressure 2500 ft away going in the uphill direction if the fluid density is 50 lb-mass/ft3 and the fluid is at rest.
Problem 5: Consider a cylindrical sand-packed core of length 10 feet and radius 0.3 feet. Assume that water is injected at the left end l = 0 and produced at the right end (l =10 feet) with the pressure at the right end held constant at 100 psia and