The Allan diagram provides the following functions on the petroleum exploration: 1. to predict fluid migration path and the sealing of hydrocarbon migration in adjacent to a fault zone; 2. to provide good constraint in strata geometry in adjacent a fault and, thus, a powerful tool to predict spill point, which is determined by the seal and contact between the fault and the petroleum reservoir; 3. to provide better method of detecting under the condition of lacking control point of slip on a fault plane; 4. to help confirming the null point on a reversed normal fault and to make the measurement of hydrocarbon closure to be more precise; and 5. to provide better understanding of fault position, dip angle, and other characteristics, such as the relationships with other faults, to help reducing the exploration risk.