Hello, thank you for your question. Bhattacharya Method is a nonlinear inverse modeling technique for magnetic data interpretation. It is based on minimizing a target function that measures the misfit between the observed and calculated magnetic anomalies using a steepest descent method. The method can estimate the depth, shape, and susceptibility of buried magnetic sources, such as dikes, lenses, or spheres.
A flow chart for Bhattacharya Method is given below:
1. Start with an initial guess of the model parameters (depth, shape, and susceptibility) and calculate the corresponding magnetic anomaly using forward modeling.
2. Compare the calculated anomaly with the observed anomaly and compute the target function and its gradient.
3. Update the model parameters by moving along the direction of the negative gradient with a suitable step size.
4. Repeat steps 2 and 3 until the target function reaches a minimum or a convergence criterion is met.
5. Output the final model parameters and the calculated anomaly.