Oil Sample Provenance Through Precomputed Geochemical Allocation

The patent applies preliminary action by pre-calculating and storing the inverse of the matrix containing geochemical composition data of end-member oils from different geological levels. This pre-computed inverse matrix is then reused during the allocation process, eliminating the need to solve complex systems of equations in real-time. The method transforms the original system into a simple matrix multiplication operation, significantly reducing calculation time while maintaining accuracy.

The patent replaces the traditional mechanical approach of iteratively solving systems of equations with chemical and geochemical knowledge with a streamlined mathematical approach using pre-computed matrix inverses. This substitution transforms a computationally intensive process into an efficient matrix operation, reducing both calculation time and resource consumption while preserving measurement precision.

The patent handles multiple geological level contributions by pre-computing the inverse matrix from the geochemical compositions of all relevant end-member oils. This pre-computed inverse captures the relationships between multiple sources, allowing the allocation calculation to proceed as a simple matrix multiplication even when many geological levels contribute to the mixture, thereby managing complexity efficiently.

The patent creates a universal solution that works for any number of contributing geological levels through the use of matrix mathematics. The same pre-computed inverse matrix approach can handle allocations from two levels or dozens of levels without increasing computational complexity, making the method universally applicable to diverse multi-source production scenarios.