The velocity discretization is a critical step in deriving the lattice Boltzmann (LBE) from continuous equation. This problem considered present paper, following an alternative approach and giving minimal discrete sets accordance with order of approximation that required for LBE respect to equation structure. Considering be polynomial Maxwell-Boltzmann equilibrium distribution, it shown solving equivalent finding inner product space induced by preserves norm orthogonality Hermite tensors...

Interpreting the mineralogical aspects of rock thin sections is an important task for oil and gas reservoirs evaluation. However, human analysis tend to be subjective laborious. Technologies like QEMSCAN® are designed automate mapping process, but also suffer from limitations high monetary costs time-consuming analysis. This work proposes a Convolutional Neural Network model automatic segmentation section images carbonate rocks. The able mimic QEMSCAN itself in low-cost, generalized...

This study presents an automated method for objectively measuring rock heterogeneity via raw X-ray micro-computed tomography (micro-CT) images, thereby addressing the limitations of traditional methods, which are time-consuming, costly, and subjective. Unlike approaches that rely on image segmentation, proposed processes micro-CT images directly, identifying textural heterogeneity. The is partitioned into subvolumes, where attributes calculated each one, with entropy serving as a measure...

Abstract A multiscale network integration approach introduced by Jiang et al . (2013) is used to generate a representative pore‐network for carbonate rock with pore size distribution across several orders of magnitude. We predict the macroscopic flow parameters utilising (i) 3‐D images captured X‐ray computed microtomography and (ii) simulations. To capture rock, we imaged four different samples at resolutions integrated data produce model that combines information length‐scales cannot be...

The influence of wettability on the residual fluid saturation is analyzed for homogeneous and heterogeneous porous systems. Several simulations under different wettability, flow rate, heterogeneity conditions were carried out using a two-component lattice-Boltzmann method. driving force initial imposed specific methodology that allows clear distinction between results obtained immiscible displacement when medium initially saturated with one (called primary) two fluids are filling spaces...

Abstract Lost circulation is still today one of the most costly problems for oil and gas operators. It may occur into permeable formations, depleted zones, induced or nature fractures cavernous formations while drilling, cementing during workover jobs in well. This paper focus on evaluation bridging reactive systems remediating severe losses based their performance a dedicated experimental facility. Laboratory apparatus commonly used to evaluate lost materials generally consist modified...

The velocity discretization is a critical step in deriving the lattice Boltzmann (LBE) from equation. problem was considered recent paper (Philippi et al., From continuous to equation: and thermal models, Physical Review E 73: 56702, 2006) following new approach giving minimal discrete sets accordance with order of approximation that required for LBE respect As consequence, two-dimensional lattices their respective equilibrium distributions were derived discussed, considering LBE. In present...

In this work, we present a derivation for the lattice-Boltzmann equation directly from linearized Boltzmann equation, combining following main features: multiple relaxation times and thermodynamic consistency in description of non isothermal compressible flows. The method presented here is based on discretization increasingly order kinetic models equation. Following Gross-Jackson procedure, collision term developed Hermite polynomial tensors resulting infinite series diagonalized after...

Abstract In fluid mechanics, multicomponent systems are generally treated either as homogeneous solutions or completely immiscible parts of a multiphasic system. systems, the main task in numerical simulations is to find location interface evolving over time, driven by normal and tangential surface forces. The lattice-Boltzmann method (LBM), on other hand, based mesoscopic description appears be promising framework that can lead realistic predictions segregation non-ideal mixtures partially...

Abstract The carbon capture and storage (CCS) process has become one of the main technologies used for mitigating greenhouse gas emissions. success CCS projects relies on accurate subsurface reservoir petrophysical characterization, enabling efficient captured $$\textrm{CO}_2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mtext>CO</mml:mtext> <mml:mn>2</mml:mn> </mml:msub> </mml:math> containment. In digital rock physics, X-ray microtomography ( $$\upmu $$...

A novel design technique for Rock-on-a-Chip microfluidic devices was developed allowing the creation of a macroporous system made up larger channels and vugs that can be filled with distinct microporosity types.

The thermodynamic consistency of kinetic models for non-ideal mixtures in non-isothermal conditions is investigated. A model proposed that suitable deriving high-order lattice Boltzmann equations by an appropriate discretization the velocity space, satisfying Galilean invariance condition and free spurious terms first moment equations.

Abstract Innovative solutions have been designed to meet the global demand for energy and environmental sustainability, such as enhanced hydrocarbon recovery geo-sequestration of CO 2 . These processes involve movement immiscible fluids through permeable rocks, which is affected by interfacial properties rocks at pore scale. Overcoming major challenges in these relies on a deeper understanding about fundamental factors that control rock wettability. In particular, efficiency oil strategies...

In this work we present a method to classify set of rock textures based on Spectral Analysis and the extraction texture Features resulted images. Up 520 features were tested using 4 different filters all $31$ combinations verified. The classification process relies Na\"{i}ve Bayes classifier. We performed two kinds optimizations: statistical optimization with covariance-based Principal Component (PCA) genetic optimization, for 10,000 randomly defined samples, achieving final maximum success...