A brief review of the correlation between electrical properties and wetting behaviour in porous media

Wettability is a critical interface property for two-phase flow and reactive transport process in porous media. Wettability alteration is considered as the dominated mechanism for enhanced oil recovery during low salinity waterflooding. The conventional characterization of wettability by contact angle at a single substrate and Amott method at core are limited. In this minireview, we introduce recent improvements in characterization of the electrochemical properties of an interfacial layer formed at the mineral-water interface, and review the application of surface potential (i.e., zeta potential) as an invasive and reliable technique to characterise the wetting behaviour of sample core across different geochemistry conditions. In order to resolve the puzzle of the wettability alteration in an oil-brine-rock system, experimental studies combined with numerical simulations across multiscale and variable geochemistry conditions are required for the future investigation.Cited as: Li, S., Hou, S. A brief review of the correlation between electrical properties and wetting behaviour in porous media. Capillarity, 2019, 2(3): 53-56, doi: 10.26804/capi.2019.03.0

Relative Rota-Baxter operators of nonzero weights on 33-Lie algebras and 3-post-Lie algebras

In this paper, first we introduce the notion of a relative Rota-Baxter operator of nonzero weights on a $3$-Lie algebra with respect to an action on another 3-Lie algebra, which can be characterized by graphs of the semidirect product 3-Lie algebra constructed from the action. %We show that a relative Rota-Baxter operator of weight $\lambda$ induces a new $3$-Lie algebra structure, which is called the descendent 3-Lie algebra. Then we introduce a new algebraic structure, which is called a $3$-post-Lie algebra. A 3-post-Lie algebra consists of a 3-Lie algebra structure and a ternary operation such that some compatibility conditions are satisfied. We show that a relative Rota-Baxter operator of nonzero weights induces a $3$-post-Lie algebra naturally. Thus $3$-post-Lie algebras can be viewed as the underlying algebraic structures of relative Rota-Baxter operators of nonzero weights on $3$-Lie algebras. Moreover, a $3$-post-Lie algebra also gives rise to a new 3-Lie algebra, which is called the subadjacent 3-Lie algebra, and an action on the original 3-Lie algebra. Next we construct an $L_\infty$-algebra from an action of 3-Lie algebras whose Maurer-Cartan elements are relative Rota-Baxter operators of nonzero weights. Consequently, we obtain the twisted $L_\infty$-algebra that controls deformations of a given relative Rota-Baxter operator of nonzero weights on 3-Lie algebras. Finally, we construct a cohomology theory for a relative Rota-Baxter operator of nonzero weights on $3$-Lie algebras and use the second cohomology group to classify infinitesimal deformations.Comment: 22 pages. arXiv admin note: text overlap with arXiv:2107.13950, arXiv:2108.0262

Thermal ageing and its impact on charge trap density and breakdown strength in ldpe LDPE

Low-density polyethylene (LDPE) has been widely used as power cable insulation, because of its good electrical performance and stable chemical characteristics. However, in recent years, with the rise of large-capacity and long-distance HVDC transmission systems, the effect of space charge has a significant impact on the insulation selection and design. Furthermore, the change in the electrical performance of insulation after ageing is also required to be understood. It has been reported that ageing leads to an increase in charge trap density. The increase of trap density in LDPE makes the transport of charge carriers between traps easier. Consequently, the electrical breakdown strength will also be affected. This paper focuses on the LDPE films with different degrees of thermal ageing and studies its impact on charge trap density and change in electrical breakdown strength. The ageing degrees of sample were characterized using Fourier-Transform Infrared (FTIR). Space charge dynamics were measured using the pulsed electroacoustic (PEA) technique. In addition, electrical breakdown strength of the aged samples was measured and breakdown data were processed using the Weibull distribution. The change in characteristic breakdown strength is related to the change in charge trap density. The results suggest that the change in charge trap density of an insulating material can be used to characterize electrical performance of the material, therefore, the ageing status

Cohomology and the controlling algebra of crossed homomorphisms on 3-Lie algebras

In this paper, first we give the notion of a crossed homomorphism on a 3-Lie algebra with respect to an action on another 3-Lie algebra, and characterize it using a homomorphism from a Lie algebra to the semidirect product Lie algebra. We also establish the relationship between crossed homomorphisms and relative Rota-Baxter operators of weight 1 on 3-Lie algebras. Next we construct a cohomology theory for a crossed homomorphism on 3-Lie algebras and classify infinitesimal deformations of crossed homomorphisms using the second cohomology group. Finally, using the higher derived brackets, we construct an $L_\infty$-algebra whose Maurer-Cartan elements are crossed homomorphisms. Consequently, we obtain the twisted $L_\infty$-algebra that controls deformations of a given crossed homomorphism on 3-Lie algebras.Comment: arxiv admin note: substantial text overlap with arXiv:2204.0219

A Research on Continuous Using Intention of the Q&A Community Platform: Evidence from “Zhihu.Com”

We set “zhihu.com” as an example and integrate a new model to study the user\u27s intention to continuously using the network Q & A community platform based on traditional S-O-R model, Information System (IS) success model, the unified theory of acceptance and use of technology (UTAUT) model and Error Correction Model (ECM). In the social dimension, technological dimension, service quality dimension, we carried out an empirical research on the important factors affecting the user\u27s continually using the network Q & A community platform. Finally, we put forward suggestions and Countermeasures on how to manage the network innovation community and encourage users to participate it effectively