Two-step Homogenization of Poroelastic Properties of a Limestone

• Autorzy: Trieu Hung Truong , Nguyen Ngoc Bien , Pham Duc Tho , Vu Minh Ngoc , Do Ngoc Anh , Nguyen Sy Tuan , Tran Nam Hung , Nguyen Thi Thu Nga

Identyfikatory

DOI

10.29227/IM-2020-02-06

Warianty tytułu

PL

Dwu-etapowa homogenizacja właściwości poroelastycznych wapienia

• Języki publikacji: EN

Abstrakty

EN

This study aims at deriving the effective poroelastic properties of the oolitic limestones based on the Hashin composite sphere assemblage (CSA) micromechanical theory. The microstructure of oolitic limestones generally exhibits an assemblage of grains (oolites) surrounded by a matrix. Grain and matrix are linked via the interfacial transition zone (ITZ). Pores exist in these three material phases (oolite, ITZ and matrix). A two-step homogenization method is proposed. The first step consists of upscaling the properties of each porous phase (i.e. porous oolite, porous ITZ and porous matrix) in which each phase contains two sub-phases including pore and solid. The differential self-consistent scheme is used for the first step. At the second step, the three different porous constituents (oolite, ITZ and matrix) are assembled in a CSA model. A mathematical analogy between thermoelasticity and poroelasticity is used to obtain the effective poroelastic properties. A comparison between the proposed model and test data on the oolitic limestone from Bourgogne (France) helps to calibrate the model parameters and to highlight the role of ITZ phase.

PL

W artykule, przedstawiono wyniki badań efektywnych właściwości poroelastycznych wapieni oolitowych w oparciu o teorię mikromechaniczną złożonego zespołu kul Hashin (CSA). Mikrostruktura wapieni oolitycznych wykazuje generalnie zbiór ziaren (oolitów) otoczonych matrycą. Ziarno i matryca są połączone za pośrednictwem międzyfazowej strefy przejściowej (ITZ). W tych trzech fazach materiału (oolit, ITZ i matryca) istnieją pory. Zaproponowano dwuetapową metodę homogenizacji. Pierwszy etap polega na zwiększeniu skali właściwości każdej porowatej fazy (tj. Porowatego oolitu, porowatej ITZ i porowatej matrycy), w której każda faza zawiera dwie podfazy: porową i stałą. W pierwszym etapie zastosowano różnicowy schemat samouzgodnienia. Na drugim etapie trzy różne porowate składniki (oolit, ITZ i matryca) są składane w modelu CSA. Matematyczne analogie między termosprężystością a poroelastycznością są wykorzystywane do uzyskania efektywnych właściwości poroelastycznych. Porównanie proponowanego modelu z danymi testowymi dotyczącymi wapienia oolitycznego z Bourgogne (Francja) pomaga skalibrować parametry modelu i podkreślić rolę fazy ITZ.

Słowa kluczowe

EN

oolitic limestone; tow-step homogenization; CSA; poro-elastic properties; differential self-consistent

PL

wapień oolityczny; homogenizacja dwuetapowa; CSA; właściwości poroelastyczne; zróżnicowana spójność własna

• Wydawca: Polskie Towarzystwo Przeróbki Kopalin
• Czasopismo: Inżynieria Mineralna
• Rocznik: 2020
• Tom: no. 2, vol. 1
• Strony: 31--39
• Opis fizyczny: Bibliogr. 51 poz., tab., wykr., zdj.

Twórcy

autor

Trieu Hung Truong

• Hanoi University of Mining and Geology, Hanoi, Vietnam, Vietnam

autor

Nguyen Ngoc Bien

• Hanoi University of Mining and Geology, Hanoi, Vietnam, Vietnam

autor

Pham Duc Tho

• Hanoi University of Mining and Geology, Hanoi, Vietnam, Vietnam

autor

Vu Minh Ngoc

• Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

autor

Do Ngoc Anh

• Hanoi University of Mining and Geology, Hanoi, Vietnam, Vietnam

autor

Nguyen Sy Tuan

• Institute of Research and Development, Duy Tan University, Da Nang, Viet Nam

autor

Tran Nam Hung

• Le Quy Don Technical University, Institute of Techniques for Special Engineering, Hanoi, Vietnam

autor

Nguyen Thi Thu Nga

• Le Quy Don Technical University, Institute of Techniques for Special Engineering, Hanoi, Vietnam

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).