Reference no: EM133380213
Case: Consider a core plug sample of porous sandstone having a diameter of 2.54 cm and a length of 5.92 cm. The sample weight before drying was 60 g and after drying it in an oven for an extended period, its weight was 53g.The absolute permeability of the above sample was measured in a lab by placing the sample in a core holder,completely saturating it with water and then injecting water (water viscosity = 1.0 mPa.s) at constant flow rateof 3.0 ml/min to cause one dimensional flow in the axial direction. The steady-state pressure drop across thesample was 57.5 kPa.
After measuring the absolute permeability with water, oil of 5 mPa.s viscosity was injected to displace the water from the sample. Oil injection was continued until water production ceased. The total volume of water displaced after injecting many pore volumes of oil was 6.85 ml and the measured pressure drop across the length of the sample during steady-state flow of oil at rate of 0.5 ml/min was 56.5 kPa.
Water was then injected into the core plug to displace oil. The total volume of oil that was displaced with many pore volumes of water injection was 4.35 ml. The steady-state pressure drop near the end of water injection was 48.6 kPa at injection rate of 0.4 ml/min.
i. Given that the rock grains have a density of 2650 kg/m3, calculate the porosity of the rock.
ii. Assuming that the weight loss during drying was entirely due to the evaporation of water from pores of the rock, what was the water saturation in the rock before drying? Density of water is given as 1000 kg/m3.
iii. From the measured value of pressure drop during flow of water at 100% water saturation, calculate the absolute permeability of the sample.
iv. Calculate the saturation of oil (So) in the sample at the end of the oil injection.
v. Calculate the effective permeability to oil at this oil saturation.
vi. Calculate the end-point relative permeability to oil (relative to the absolute permeability).
vii. Calculate the residual oil saturation.
viii. Calculate the end-point relative permeability to water (relative to the absolute permeability)