Abstract
The pore structure reconstruction of the porous media is of great importance to the research of mechanisms of fluid flow in porous media. To capture the large-scale patterns in the pore space, the multiple-point statistical technique is generally adopted for porous media reconstruction. Commonly, two different schemes, i.e., the single-grid scheme and the multiple-grid scheme, can be applied for simulation realization. The selection between this two schemes and a proper data template size have thus become a new research issue, and the performance of the characteristic reproduction of the training image using this two schemes must be quantified. In this paper, a series of multiple-point statistics simulation basing on a 2D micro-CT sandstone image are proceeded using both single- and multiple-grid schemes, and different data templates are adapted for porous media reconstruction. Further, to quantify the impact of the computational schemes and setting of the data template to the simulation realizations, a number of measurements considering the pore diameter, porosity, connectivity, and permeability are implemented to fully analyze the results obtained. Results show that by using the single-point statistical method, a large template is necessary to reproduce large-scale structures. The multiple-grid template method may bring great benefits to simulation efficiency over the simple data template method, as well as the recovery of the pore long-range geometric features and seepage characteristics. With the extension of the template for the multiple-grid scheme, the simulation results show lack of variations to some extent.
Highlights
Pore space reconstruction of porous media is of great interest in fields of earth science and engineering, because an accurate pore-scale modeling of the microstructure can help us understand and predict flow and transport phenomena
Due to the stochastic feature of the multiple-point geostatistical simulation, different random seeds are used, and dozens of the simulation are completed on a 200 × 200 grid with data template of 3 × 3, 5 × 5, 7 × 7,...,19 × 19, respectively
The results calculated using different measurements are averaged and compared with the statistics of the training image to quantitate the effect of simulation methods and parameters
Summary
Pore space reconstruction of porous media is of great interest in fields of earth science and engineering, because an accurate pore-scale modeling of the microstructure can help us understand and predict flow and transport phenomena. Due to capability of curvilinear and large-scale connected structures reproduction, multiple-point statistics (MPS) method has become one of most widely used approaches for porous media reconstruction. As current two main implementations of multiple-point statistics method, SNESIM [15] and IMPALA [13], both rely on intermediate data structure to store patterns from training image, the reconstruction process suffers from the running speed and RAM consumption, in large scale and large data template simulation cases. It is important to understand precisely its reproduction capacities and its parameter sensitivity during the simulation process to achieve the satisfactory digital models To address this issue mentioned above, a series of multiple-point statistics simulations are proceeded basing on a 2D micro-CT sandstone training image using both singleand multiple-grid schemes in which different data template is adopted for porous media reconstruction. Results show that the multiple-grid template method may bring great benefits to simulation efficiency over the simple data template method, as well as the recovery of the pore long-range geometric features and seepage characteristics
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