(Solved): [25 points] It is desired to increase the density of the mud from \( 11 \mathrm{lbm} / \mathrm{gal} ...

[25 points] It is desired to increase the density of the mud from \( 11 \mathrm{lbm} / \mathrm{gal} \) mud to \( 15 \mathrm{lbm} / \mathrm{gal} \) in a well whose data is given below One gallon of water will be added with each 100 lbm sack of API barite to prevent excessive thickening of the mud. a. Calculate the total volume of the mud inside this well. b. Calculate the amount of API barite to be added. (consider the volume of the fluid inside the well as limited in your calculations.) c. Calculate the volume of water to be added with barite. ``` Hole data 13 Casing shoe set at 5,000 ft 12% Drill string data 8 in Drill collars (ID 2.81 in) Length 1.000 ft 5 in HWDP (ID 3 in ) Length 800 ft 5 in drill pipe (ID 4.276 in) ```