A method for mitigating a fluid flow from a target wellbore using a relief wellbore includes receiving wellbore geometry information of the target wellbore, receiving an initial interception point of the target wellbore, simulating a change in a three-dimensional flow characteristic of a kill fluid flow from a simulated relief wellbore and a target fluid flow from a simulated target wellbore resulting from an interaction between the kill fluid flow and the target fluid flow at the initial interception point, the simulated target wellbore designed using the received wellbore geometry information, and determining a final interception point of the target wellbore based on the simulation.