Multifractal and p-adic forecasting of distribution and continuity of faults, fracture corridors with a high probability of being associated with hydrocarbons, for the statistically-based design of trajectories of future production wells
Authors: Oleshko Klaudia , Khrennikov Andrey , de Jesús Correa López Maria 
Published: March 2022

&lt;p&gt;The static characterization and sedimentological/stratigraphic modelling of the Naturally Fractured and Vugular Deposits (YNFV) are carried out based on the multiscale and multi-physical/geological data (Big Geodata). To date, the reference analytical techniques used in the Oil Industry to integrate this information are uncertain. There are several reasons for this, the main one being the different nature and accuracy of the exploration data. Multifractal and p-Adic analyses of the architecture of the field of interest were carried out. It was documented that the trajectories' uncertainty and error in deviation depend on the scale of used information. From the 3D visualization of the YNF and its main structural elements (at scales from mega to micro), the corresponding maps of the heterogeneity and anisotropy of the effective porosity and permeability of the studied YNF were delivered. The main research goal is to develop accurate 2D and 3D maps of the productive horizon (or volume) of interest of the YNF Xikin, with a statistically- and structurally accurate forecast of the hydrocarbons distribution (made from the available seismic cube). The design of wells optimal trajectories and corresponding direction of the shots, based on the pattern of continuity/tortuosity of the corridors or networks of fractures. Muuk&amp;#180; il Kaab (MIK) software, designed in conjunction with the Ku Maloob Zaap Field Assets and calibrated in several PEMEX fields used to construct the Effective Metric of Connected Fractures in the Xikin from the seismic records, analyze the geometry and topology of clusters detection of anomalous amplitudes/frequencies of seismic waves and to interpret it quantitatively from the point of view of their possible occupation by hydrocarbons and the geometry/topology of networks/fracture corridors. To reduce the bias of the final interpretation of the displayed data, at least ten techniques of nonlinear analysis, including multifractal and p-adic, were used. These techniques, applied to the original seismic records were visualized in the form of Textons (term that comes from Pattern Recognition area), which we will call: Macro- and MicroTexels , depending on the scale of observation and within which synthetic wells with optimal values of the variables selected as Direct Hydrocarbon Indicators (DIHO) were located.&lt;br&gt;&lt;br&gt;The results of the analysis and visualization of the connected multiscale networks of fractures and according to the direct hydrocarbon indicators selected in this study for Xikin, the following &amp;#160;maps were constructed:&lt;br&gt;1. A probabilistic map of hydrocarbon concentration zones correlated with Xikin-specific sedimentological/stratigraphic features (with particular attention to the multiscale pattern of fracture);&lt;br&gt;2. 3D map of the optimal trajectories of the recommended wells, associated with the directional scheme of the shots in the preferential direction of each connected fracture pattern.&lt;/p&gt;