2. Depleted oil reservoirs are filled with a salt solution to prevent ground collapse above the reservoirs (see diagram). This procedure creates problems, however, when salt (A) dissolved in water (B) diffuses up the ground. During this process, microorganisms living in the ground consume the salt at a constant rate of Y mol/sm?. i. Derive the unsteady-state mass equation for salt in ground in terms of ca (or XA), t, DAB and other relevant parameters. Please state any assumptions you are making. Please show the volume used for mass balance as well. 7 points ii. If one wishes to calculate the salt concentration as a function of location in the ground, what information is needed? No calculation is necessary. Ground Salt migration Depleted oil well filled with salt solution