1. A method for terrain correction, the method comprising: a. measuring at least one component of the following: gravity scalar, gravity vector, gravity tensor, magnetic scalar, magnetic vector, and magnetic tensor data with at least one potential field sensor in at least one measurement position along at least one survey line; b. measuring a terrain as a digital elevation model; c. selecting a physical property function to describe a physical property distribution within the measured terrain; d. using at least one processor, forward modeling a terrain response from the digital elevation model with the physical property function for the measured at least one component of the following: gravity scalar, gravity vector, gravity tensor, magnetic scalar, magnetic vector, and magnetic tensor data using a 3D Cauchy-type surface integral over a surface of the terrain; e. using the at least one processor, filtering the forward modeled terrain response to match a system response and a data processing response of the at least one potential field sensor; f. using the at least one processor, calculating the filtered forward modeled terrain response for the measured at least one component of the following: gravity scalar, gravity vector, gravity tensor, magnetic scalar, magnetic vector, and magnetic tensor data; g. using the at least one processor, calculating a terrain corrected potential field data using the measured at least one component and the calculated filtered forward modeled terrain response; and h. using the terrain corrected potential field data for geophysical exploration of one or more geological areas.