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7 Homework 1. Dervie and prove Table 2. 9.1 Water injection is carried out in a 50 ft thick, 300 ft wide, and 400 ft long grid- block (much like a rectangular core, called gridblock in reservoir simulation terminology), which has a porosity of 33% and absolute permeability of 500 mD. The injection of water is carried out at a residual oil saturation of 20%. The pressure drop across the gridblock is 5 atm. The relative permeability of water (k„) at residual oil saturation of 20% or water saturation of 80% is 0.67. Water viscosity is 1.0 cP. Calculate the water flow rate in barrels/day. 9.3 An oil-water SS displacement experiment was carried out on a 5.0 cm long and 3.0 cm diameter sandstone core plug. The porosity of the plug is 25% and the grain density is 2.65 g/cm³. Oil and water densities are 0.85 g/cm³ and 1.05 g/cm³, while viscosities are 2.0 cP and 1.0 cP, respec- tively. The differential pressure for the test is 12.94 psi. Other data are provided in the following table. Calculate and plot the oil-water relative permeability data. 9. (cm³/min) 9w (cm/min) Wet Weight of Core Plug (g) 21.20 0.00 77.7544 18.00 0.50 78.0947 10.60 1.40 78.4479 3.00 2.90 78.8011 0.40 6.50 79.1543 0.00 42.40 79.5216

7 Homework 1. Dervie and prove Table 2. 9.1 Water injection is carried out in a 50 ft thick, 300 ft wide, and 400 ft long grid- block (much like a rectangular core, called gridblock in reservoir simulation terminology), which has a porosity of 33% and absolute permeability of 500 mD. The injection of water is carried out at a residual oil saturation of 20%. The pressure drop across the gridblock is 5 atm. The relative permeability of water (k„) at residual oil saturation of 20% or water saturation of 80% is 0.67. Water viscosity is 1.0 cP. Calculate the water flow rate in barrels/day. 9.3 An oil-water SS displacement experiment was carried out on a 5.0 cm long and 3.0 cm diameter sandstone core plug. The porosity of the plug is 25% and the grain density is 2.65 g/cm³. Oil and water densities are 0.85 g/cm³ and 1.05 g/cm³, while viscosities are 2.0 cP and 1.0 cP, respec- tively. The differential pressure for the test is 12.94 psi. Other data are provided in the following table. Calculate and plot the oil-water relative permeability data. 9. (cm³/min) 9w (cm/min) Wet Weight of Core Plug (g) 21.20 0.00 77.7544 18.00 0.50 78.0947 10.60 1.40 78.4479 3.00 2.90 78.8011 0.40 6.50 79.1543 0.00 42.40 79.5216

Fundamentals of Geotechnical Engineering (MindTap Course List)
Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter6: Hydraulic Conductivity
Section: Chapter Questions
Problem 6.14P
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4 Homework 1. Dervie and prove Table 2. 9.1 Water injection is carried out in a 50 ft thick, 300 ft wide, and 400 ft long grid- block (much like a rectangular core, called gridblock in reservoir simulation terminology), which has a porosity of 33% and absolute permeability of 500 mD. The injection of water is carried out at a residual oil saturation of 20%. The pressure drop across the gridblock is 5 atm. The relative permeability of water (k) at residual oil saturation of 20% or water saturation of 80% is 0.67. Water viscosity is 1.0 cP. Calculate the water flow rate in barrels/day. 9.3 An oil-water SS displacement experiment was carried out on a 5.0 cm long and 3.0 cm diameter sandstone core plug. The porosity of the plug is 25% and the grain density is 2.65 g/cm³. Oil and water densities are 0.85 g/cm³ and 1.05 g/cm³, while viscosities are 2.0 cP and 1.0 cP, respec- tively. The differential pressure for the test is 12.94 psi. Other data are provided in the following table. Calculate and plot the oil-water relative permeability data. 9. (cm³/min) 9w (cm3/min) Wet Weight of Core Plug (g) 21.20 0.00 77.7544 18.00 0.50 78.0947 10.60 1.40 78.4479 3.00 2.90 78.8011 0.40 6.50 79.1543 0.00 42.40 79.5216
Transcribed Image Text:4 Homework 1. Dervie and prove Table 2. 9.1 Water injection is carried out in a 50 ft thick, 300 ft wide, and 400 ft long grid- block (much like a rectangular core, called gridblock in reservoir simulation terminology), which has a porosity of 33% and absolute permeability of 500 mD. The injection of water is carried out at a residual oil saturation of 20%. The pressure drop across the gridblock is 5 atm. The relative permeability of water (k) at residual oil saturation of 20% or water saturation of 80% is 0.67. Water viscosity is 1.0 cP. Calculate the water flow rate in barrels/day. 9.3 An oil-water SS displacement experiment was carried out on a 5.0 cm long and 3.0 cm diameter sandstone core plug. The porosity of the plug is 25% and the grain density is 2.65 g/cm³. Oil and water densities are 0.85 g/cm³ and 1.05 g/cm³, while viscosities are 2.0 cP and 1.0 cP, respec- tively. The differential pressure for the test is 12.94 psi. Other data are provided in the following table. Calculate and plot the oil-water relative permeability data. 9. (cm³/min) 9w (cm3/min) Wet Weight of Core Plug (g) 21.20 0.00 77.7544 18.00 0.50 78.0947 10.60 1.40 78.4479 3.00 2.90 78.8011 0.40 6.50 79.1543 0.00 42.40 79.5216
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