The match game: New stratigraphic correlation algorithms

New algorithms for automatic correlation of geologic strata are introduced. The algorithms are extensions of the Smith and Waterman (1980) dynamic programming technique and include several features that greatly increase the utility for sedimentary sequences. Gaps in correlation (unconformities) caused by local nondeposition or eroded strata can include in a single “event” several strata. Furthermore, these gaps can be weighted as a single event, rather than as the sum of gap events for each strata. In addition, one or several adjacent strata in a second column can be correlated (matched) with one or several strata in a second column. Deletions within one of these multiple matches are also possible. The new algorithms include the method of minimum distance and the method of maximum similarity. Within this context, a similarity algorithm is given to locate and correlate the best matching segments or intervals from each stratigraphic column. All correlations within a preset distance of the optimum likewise can be produced for any of these algorithms. An example of specific assignments of these weight functions is given for correlation of well logs from the San Juan Basin.

[1]  M S Waterman,et al.  Efficient sequence alignment algorithms. , 1984, Journal of theoretical biology.

[2]  John W. Harbaugh,et al.  Computer Applications in Stratigraphic Analysis , 1968 .

[3]  Joseph B. Kruskall,et al.  The Symmetric Time-Warping Problem : From Continuous to Discrete , 1983 .

[4]  M S Waterman,et al.  Identification of common molecular subsequences. , 1981, Journal of molecular biology.

[5]  C. Mann,et al.  Quantitative lithostratigraphic correlation of subsurface sequences , 1978 .

[6]  W. Schwarzacher Models for the study of stratigraphic correlation , 1980 .

[7]  A. D. Gordon,et al.  SLOTSEQ: A FORTRAN IV program for comparing two sequences of observations , 1980 .

[8]  Temple F. Smith,et al.  Comparison of biosequences , 1981 .

[9]  Stratigraphic correlation of subsurface geologic data by computer , 1972 .

[10]  J. A. Howell A fortran 77 program for automatic stratigraphic correlation , 1983 .

[11]  D. Gill Application of a Statistical Zonation Method to Reservoir Evaluation and Digitized-Log Analysis , 1970 .

[12]  Richard A. Reyment,et al.  Slotting of borehole sequences , 1979 .

[13]  Brian R. Shaw,et al.  Stratigraphic analysis system: SAS , 1977 .

[14]  Michael S. Waterman,et al.  Technical Note - Determining All Optimal and Near-Optimal Solutions when Solving Shortest Path Problems by Dynamic Programming , 1984, Oper. Res..

[15]  Franklin Kemp,et al.  An algorithm for the stratigraphic correlation of well logs , 1982 .

[16]  M S Waterman,et al.  Sequence alignments in the neighborhood of the optimum with general application to dynamic programming. , 1983, Proceedings of the National Academy of Sciences of the United States of America.

[17]  Robert W. Lankston,et al.  Stratigraphic Correlation of Well Logs by Computer Techniques , 1973 .

[18]  F. Agterberg,et al.  Workshop on Quantitative Stratigraphic Correlation Techniques: Ottawa, February 1980 , 1981 .

[19]  Temple F. Smith,et al.  New Stratigraphic Correlation Techniques , 1980, The Journal of Geology.

[20]  R. Reyment,et al.  Statistics and Data Analysis in Geology. , 1988 .