Abstract:Firstly,we derive the forward modeling formulae for third-order gradient tensor of gravitational potential caused by the finite cylinder. Then, the model experiment is carried out based on the theoretical formula, and two different approaches are utilized to verify the obtained analytic expressions. The first compares the results calculated by our proposed formulae and the central difference of gradient tensor of the gravitational potential. The second determines whether the sum of the components is zero acording to the Laplace equation.