1. During a gravel rock operation, the 6-in. (in diameter) liner became filled w

Question

1. During a gravel rock operation, the 6-in. (in diameter) liner became filled with gravel, and a layer of mill scale and dirt accumulated to a thickness of 1 in. on top of the gravel within the pipe. If the permeability of the accumulation is 1000 md, what additional pressure drop is placed on the system when pumping a 1-cp fluid at the rate of 100 bbl/hr? 2. A high water-oil ratio is being produced from a well. It is thought that the water is coming from an underlying aquifer 20 ft from the oil-producing zone. In between the aquifer and the producing zone is an impermeable shale zone. Assume that the water is coming up through an incomplete cementing job that left an opening 0.01 in. wide between the cement and the 8 in. hole. The water has a viscosity of 0.5 cp. Determine the rate at which water is entering the well at the producing formation level if the pressure in the aquifer is 150 psi greater than the pressure in the well at the producing formation level.

Explanation / Answer

The accumulation of dirt is =1in

Opening =0.01 in Wide in between the cement and the 8 in hole.

Viscosity= 0.5 cp

Pressure in acquifier=150 psi

The rate at which the water is flowing is given as

Viscosity/pressure=150/0.5=300cp/psi

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