Seismic attribute transformation and porosity prediction of thin water‐rich sandstone based on Lambert W–R model

• Published in: Geophysical Prospecting 2024-06, Vol.72 (5), p.1934-1949
• Main Authors: Li, Wan, Chen, Tongjun, Yin, Haiyang, Zhao, Liming, Xu, Haicheng
• Format: Article
• Language: English
• Subjects: Drilling fluids; instantaneous amplitude; Lambert W function; P-waves; Parameter sensitivity; Parameters; Physical properties; Porosity; Rocks; Sandstone; Sedimentary rocks; seismic; Seismic response; Seismic waves; Thickness; Water; water saturation; Wave parameters
• ISSN: 0016-8025; 1365-2478
• DOI: 10.1111/1365-2478.13473

The seismic attributes of water‐rich sandstone contain much information about the rock's physical properties and seismic wave parameters. They are commonly used to predict the rock's physical properties (e.g. porosity). However, the seismic attributes of water‐rich sandstone are affected by porosity, water saturation and thickness. To eliminate the influence of thickness on the porosity prediction of water‐rich sandstone and improve the accuracy of the porosity prediction, the authors propose a Lambert W–R transform method to isolate the contribution of thickness and porosity from seismic attributes. First, a rock physical model is used to calculate the equivalent elastic parameters of water‐rich sandstones with different porosity values and water saturation levels. Second, the seismic attribute dataset of water‐rich sandstone is established by forward modelling the seismic response of the wedge‐shaped water‐rich sandstone model, and the selection of sensitive physical properties is completed. Then, the transformation parameters (ζAhRs and ηAhRs) are obtained by Lambert W–R transformation, which is exponentially related to instantaneous amplitude. ζAhRs and ηAhRs are sensitive to thickness and porosity, respectively. Finally, an interpretative template for porosity prediction of water‐rich sandstone is established by cross‐plot analysis (ζAhRs and ηAhRs) and verified by a practical case. The verification results show that the porosity predicted by the interpretation template is consistent with drilling fluid consumption. However, it is lower than the porosity of logging constrained P‐wave impedance inversion.