Geophysical regularization inversion constrained by priori petrophysical properties
With the deepening of exploration,the a priori information available for regularization inversion be-comes increasingly rich and accurate.A model constraint method is proposed based on the principle of mutual differences in the physical properties of inversion units,after an analysis of methods that introduce a priori rock physical property constraint,including parameter transformation functions,the fuzzy C-means(FCM)clustering model constraint and the alternating direction optimization of multipliers.The physical properties are intro-duced via the imposition of constraints on the values assigned to discrete inversion units,given that the essence of the model constraint based on the principle of mutual differences among inversion units is the finite number of geological units and that each discrete inversion unit can only belong to one lithology.A unified objective func-tion is constructed through the combination of the aforementioned introduction of a priori physical properties with classical regularization inversion and is then optimized through the Gauss-Newton method.The mecha-nisms and mathematics essence underlying the introduction of rock physical properties through four distinct schemes are examined,and a strategy of employing multiple schemes to improve the inversion effect is pro-posed.Finally,the inversion effect of combining L1 norm minimum structure model constraints and the intro-duction strategy of a priori physical property constraints is compared with that of combining L2 norm minimum structure model constraints and the same strategy.The inversion results of the model and field data all demon-strate that leveraging a priori rock physical property information can effectively improve the inversion effect.
priori rock physical propertiesregularization inversiontransformation functionfuzzy C-means clus-teringalternating direction algorithm of multipliers
万方数据
维普
