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

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Field applications of hydraulic conductivity

Hydraulic conductivity is one of the hydraulic properties of soil defined as a measurement of the ability of a porous medium to permit water movement or fluid flow through it. It is denoted by the letter K. It is influenced by the density and viscosity of the fluid. It is also called permeability. Hydraulic conductivity is defined as the ratio of velocity to the hydraulic gradient. The different methods used to determine the hydraulic conductivity are laboratory methods (constant head permeability tests and falling head tests), in-situ field methods (pumping in and pumping out tests), small scale field tests (infiltration tests and slug tests), and indirect methods such as estimation from grain size, consolidation test data, and horizontal capillary test. The pedotransfer function (PTF) method is a specific empirical estimating approach employed in the soil sciences is also used to determine the hydraulic conductivity of the soil.

Question

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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