Machine learning models have been successfully used in many scientific and engineering fields. However, it remains difficult for a model to simultaneously utilize domain knowledge experimental observation data. The application of knowledge-based symbolic AI represented by an expert system is limited the expressive ability model, data-driven connectionism neural networks prone produce predictions that violate physical mechanisms. In order fully integrate with observations, make full use prior...

Data-driven discovery of partial differential equations (PDEs) has recently made tremendous progress, and many canonical PDEs have been discovered successfully for proof concept. However, determining the most proper PDE without prior references remains challenging in terms practical applications. In this work, a physics-informed information criterion (PIC) is proposed to measure parsimony precision synthetically. The PIC achieves satisfactory robustness highly noisy sparse data on 7 from...

The multiphase Richtmyer–Meshkov instability (RMI) often occurs in supernova events and inertial confinement fusion processes, where it plays a critical role. In the evolution of RMI process, particle phase may have either dilute or dense pattern. Previous studies mainly focused on Currently, there is no published research theoretical growth model gas-particle flow. this work, new Atwood number was developed with assumption small Stokes shown to be effective for characterized by moment...

Summary During the annual pressure decline from high sulfur gas reservoirs, deposition in wellbore significantly limits increase natural production. A comprehensive understanding of multiphase transport and within is essential for enhancing two-phase flow model based on pairwise force smoothed particle hydrodynamics (PF-SPH) developed to meter-scale capture gas-water behaviors. In contrast conventional modeling methods, this accounts fluid modes, interphase slip velocity, well wall friction....

This paper investigates the evolution of a Richtmyer–Meshkov (RM)-like instability on internal surface particle rings impinged by divergent blast waves. Despite signature spike–bubble structure analogous to hydrodynamic RM instability, growth perturbation amplitude in granular media undergoes an exponential phase followed linear phase, markedly differing from and indicating fundamentally different mechanism. The RM-like arises incipient transverse flows induced effects upon shock...

Sediment settling in inclined fractures (channels with high aspect ratio) is studied numerically. Unlike the conventional Boycott effect, heterogeneous particle-clustering plumes are observed from simulation results. Granular-induced Kelvin-Helmholtz and Rayleigh-Taylor instabilities found to be dominating mechanisms this process. This work deepens understanding of effect fractures, provides various quantitative relationships acceleration ratio versus inclination angle.

Data-driven methods have recently made great progress in the discovery of partial differential equations (PDEs) from spatial-temporal data. However, several challenges remain to be solved, including sparse noisy data, incomplete candidate library, and spatially- or temporally-varying coefficients. In this work, a new framework, which combines neural network, genetic algorithm adaptive methods, is put forward address all these simultaneously. trained network utilized calculate derivatives...

During hydraulic fracturing, conventional spherical proppant particles tend to settle rapidly in a low-viscosity fluid, which results low permeability and poor supporting performance the fractures. In this study, we introduce two types of novel nonspherical particles; transport processes both proppants fractures are simulated using coupled computational fluid dynamics discrete element method approach multisphere modeling. We compare differences performances proppants. Sensitivity analysis...

This paper investigates the shock-induced instability of interfaces between gases and dense granular media with finite length via coarse-grained compressible computational fluid dynamics–discrete parcel method. Despite generating a typical spike-bubble structure reminiscent Richtmyer–Meshkov (RMI), shock-driven (SDGI) is governed by fundamentally different mechanisms. Unlike RMI arising from baroclinic vorticity deposition on interface, SDGI closely associated interfacial bulk dynamics,...

Abstract Although deep learning has been successfully applied in a variety of science and engineering problems owing to its strong high-dimensional nonlinear mapping capability, it is limited use scientific knowledge discovery. In this work, we propose based framework discover the macroscopic governing equation an important geophysical process, i.e., viscous gravity current, on high-resolution microscopic simulation data without need for prior underlying terms. For two typical scenarios with...

Summary The distribution of proppant within hydraulic fractures significantly influences fracture conductivity, thus playing an essential role in oil and gas production. Currently, small-scale static problems have been successfully simulated with high accuracy using Lagrangian transport models. Field-scale are often the mixture model, which still requires improvement. In this work, a novel model that couples propagation Eulerian-Lagrangian framework is proposed. displacement discontinuity...

This paper focuses on the numerical simulation of particle (“proppant”) transport in channel fracturing, which fiber-proppant fluid is pumped intermittently into hydraulic fractures, alternated with clean pulses. The pulsed pumping protocol leads to heterogeneous/channelized proppant distribution generating open flow channels high conductivity. To understand evolution channelized distribution, we develop an efficient pseudo-3D multiphase particle-in-cell (P3D MP-PIC) method simulate during...

The pressure evolution associated with the transient shock-induced infiltration of gas flow through granular media consisting mobile particles is numerically investigated using a coupled Eulerian–Lagrangian approach. coupling between shock compaction and interstitial has been revealed. A distinctive two-stage diffusing field deflection occurring at tail front found, corresponding spikes in both gaseous velocity temperature profiles emerging within width front. front, together pressure,...

We discuss evolutions of nonlinear features in Richtmyer–Meshkov instability (RMI), which are known as spikes and bubbles. In single-phase RMI, the growth has been extensively studied but relevant investigation multiphase RMI is insufficient. Therefore, we illustrate dynamic coupling behaviors between gas phase particle then analyze theoretically. A universal model proposed to describe finger (spike bubble) velocity qualitatively RMI. Both effects particles have taken into consideration this...

Summary Recently, novel-shaped proppant, such as rod-shaped and x-shaped has been gradually used in hydraulic fracturing systems, which challenges the validity of previous transport laws for conventional spherical proppant. In this work, a multiscale modeling framework is proposed to solve issue. We start from constructing particle-scale laws, including proppant settling, phase-slip, effective slurry viscosity, based on refined particle-resolved direct numerical simulation method, that is,...

This study focuses on the effects of a large Stokes number (St) perturbation growth in linear and nonlinear stages Richtmyer–Meshkov instability (RMI) gas-particle system, which to best our knowledge has not been previously reported. A model is developed by stability analysis numerically verified compressible multiphase particle-in-cell (CMP-PIC) method. Additionally, RMI characteristics stage are also investigated CMP-PIC. For model, two major differences characterize St. The first one that...