Citation: | Qingmou Li, Qiuming Cheng. Fractal Correction of Well Logging Curves. Journal of Earth Science, 2001, 12(3): 272-275. |
It is always significant for assessing and evaluation of oil bearing layers, especially for well logging data processing and interpretation of non marine oil beds to get more accurate physical properties in thin and inter thin layers. This paper presents a definition of measures and the measure presents power law relation with the corresponded scale described by fractal theory. Thus, logging curves can be reconstructed according to this power law relation. This method uses the local structure nearby concurrent points to compensate the average effect of logging probes and measurement errors. As an example, deep and medium induced conductivity (IMPH and IDPH) curves in ODP Leg 127 Hole 797C are reconstructed or corrected. Corrected curves are with less adjacent effects through comparison of corrected curves with original one. And also, the power spectra of corrected well logging curve are abounding with more resolution components than the original one. Thus, fractal correction method makes the well logging more resoluble for thin beds.
Cheng Q, 1999. Multifractal Interpolation. In: Lippard S J, Nass A, Sinding L, eds. 5th Annual Conference[IAMG' 99] Proceedings. International Association of Mathematical Geology, 245-250 |
Donald L T, 1997. Fractalsand Chaosin Geology and Geophysics. Second Edition. London: Cambridge University Press. 398 |
Doveton J H, 1998. Beyond the Perfect Martini-Teaching the Mathematical Geology of Petrophysical Logs. In: Buccianti A, Nardi G, Potenza R., eds. 4th Annual Conference[ IAMG' 98] Proceedings. International Association of Mathematical Geology, 71-75 |
Pape H, Clauser C, Iffland J, 2000. Variation of Permeability with Porosity in Sandstone Diagenesis Interpreted with a Fractal Pore Space Model. Pure and Applied Geophysics, 157: 603-619 doi: 10.1007/PL00001110 |
Qian Y, Zhong X, 1999. Thin Bed Information Resolution of WellLogs and Its Applications. Log Analyst, 40(1): 31-38 |
Renata D, Barry S, 1999. Long-Range Persistence in Geophysical Time Series, Advances in Geophysics(40). New York: Academic Press |
Van Wagoner J C, 1990. Siliciclastic Sequence Stratigraphy in Well Logs, Core and Outcrops: Concepts for High Resolution Correlation of Time and Facies. AAPG Methods in Exploration Series, 7: 55 |
Wang H, Li Z, Yang S, et al, 1997. Normalized Method for Better Resolution of Natural Gamma Ray Well Logging Data. Acta Geophyca Sinaca, 40(6): 84 |