Petroleum Engineering -Q39

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Question 1
A formation water sample analysis shows 460 ppm Ca, 1400 ppm SO4, and 19,000 ppm NaCl. Find (a) the equivalent NaCl concentration, (b) the formation water resistivity at 60, 70 and 80 oF, and (c) deduce the relation between Rw and temperature at constant salinity. Explain the trend and its significance when measuring Sw.
Question 2
You are logging a sandstone formation (assume a = 0.81 and m = 20) where the porosity is 20%. The Rw is 0.05 Ωm and Rmf is 0.05 Ω.m at reservoir temperature. The residual hydrocarbon saturation in the flushed zone is 40% and the water saturation in the uninvaded zone is 30%. What will be the Rxo and Rt?

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Question 3
A Well is producing from limestone formations of 30-ft thickness and well drainage is 50 acre. Acoustic log shows porosity 20 %. Resistivity logs show Rt equals to 3 Ω m and Rxo equal to 2.72 Ω m. Formation water resistivity is 0.02 Ω m and mud filtrate resistivity is 0.05 Ω m at formation temperature.
a) Calculate the initial oil in place, bbl
b) Calculate the movable oil, bbl
c) Determine the expected recovery factor.
d) What type of drilling fluid was used in this well?
e) If in a lower limestone section of the same porosity, resistivity showed Rt equal to 0.8 Ω m and Rxo equals to 21 Ω m. Determine water saturation of this section.
Question 4
A given fluid loss, differential pressure, mudcake permeability, and exposure time indicate that 20 L of mud filtrate invaded a porous, permeable oil-bearing formation. If the formation thickness, h, is 10 ft, Sor = 25%, and borehole diameter, dh, is 8 inches,calculate the diameter of invasion, di, if (a) φ = 40% and (b) φ = 10%.
Question 5
Consider a synthetic rock sample made of insulator material and shaped as a cube of length L. There is a square tube of dimension L/2 through the cube (refer to figure below). Assuming that this square tube is filled with brine of resistivity Rw and that the current will flow perpendicular to the faces with the square holes, calculate the formation resistivity factor of the rock.
Product Code-Petroleum Engineering -Q39
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