Prediction of cavity growth by solution of salt around boreholes

A mathematical model is developed to simulate the process of salt dissolution in a salt formation. The calibration of this model using Detroit Mine data is done systematically by the method of nonlinear regression. The brine concentrations calculated from the regression fit the measured data from Detroit Mine experiment within 10 percent. Because the Detroit data includes periods when the inlet flow is shut off, the agreement with Detroit data indicates that the model adequately represents natural convection effects to predict the cavity growth at very slow feed rates. The prediction has been done to calculate the cavity growth at feed rate of one gal/hr and one gal/day over a period of 10,000 yr. The result of the prediction shows that the cavity growth is a wide-flaring type and that the significant growth of the cavity only occurs at top layer. The prediction involves a very great extrapolation of time from the Detroit data, but it will be valid if the mechanism of solution does not change. This subject is discussed in the report, and we believe that the prediction is basically correct.