Methods and systems may be provided to simulate forming a wide variety of directional wellbores including wellbores with variable tilt rates, relatively constant tilt rates, wellbores with uniform generally circular cross-sections and wellbores with non-circular cross-sections. The methods and systems may also be used to simulate forming a wellbore in subterranean formations having a combination of soft, medium and hard formation materials, multiple layers of formation materials, relatively hard stringers disposed throughout one or more layers of formation material, and/or concretions (very hard stones) disposed in one or more layers of formation material. Values of bit walk rate from such simulations may be used to design and/or select drilling equipment for use in forming a directional wellbore.