Stability analysis for a recovered fracturing fluid model in the wellbore of shale gas reservoir

Jinxia Cen; Nicuşor Costea; Chao Min; Jen-chih Yao

Makale detayları

Stability analysis for a recovered fracturing fluid model in the wellbore of shale gas reservoir

Yazarlar:

Jinxia Cen | Nicuşor Costea | Chao Min | Jen-chih Yao

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 6, pp.1533-1549

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001301868

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 This paper is concerned with the study of stability analysis to a complicated recovered frac- turing fluid model RFFM, for short, which consists of a stationary incompressible Stokes equation involving multivalued and nonmonotone boundary conditions, and a reaction- diffusion equation with Neumann boundary conditions. Firstly, we introduce a family of perturbated problems corresponding to RFFM and deliver the variational formulation of perturbated problem which is a hemivariational inequality coupled with a variational equation. Then, we prove that the existence of weak solutions to perturbated problems and the solution sequence to perturbated problems are uniformly bounded. Finally, via employing Mosco convergent approach and the theory of nonsmooth, a stability result to RFFM is established.

 This paper is concerned with the study of stability analysis to a complicated recovered frac- turing fluid model RFFM, for short, which consists of a stationary incompressible Stokes equation involving multivalued and nonmonotone boundary conditions, and a reaction- diffusion equation with Neumann boundary conditions. Firstly, we introduce a family of perturbated problems corresponding to RFFM and deliver the variational formulation of perturbated problem which is a hemivariational inequality coupled with a variational equation. Then, we prove that the existence of weak solutions to perturbated problems and the solution sequence to perturbated problems are uniformly bounded. Finally, via employing Mosco convergent approach and the theory of nonsmooth, a stability result to RFFM is established.

 This paper is concerned with the study of stability analysis to a complicated recovered frac- turing fluid model RFFM, for short, which consists of a stationary incompressible Stokes equation involving multivalued and nonmonotone boundary conditions, and a reaction- diffusion equation with Neumann boundary conditions. Firstly, we introduce a family of perturbated problems corresponding to RFFM and deliver the variational formulation of perturbated problem which is a hemivariational inequality coupled with a variational equation. Then, we prove that the existence of weak solutions to perturbated problems and the solution sequence to perturbated problems are uniformly bounded. Finally, via employing Mosco convergent approach and the theory of nonsmooth, a stability result to RFFM is established.

 This paper is concerned with the study of stability analysis to a complicated recovered frac- turing fluid model RFFM, for short, which consists of a stationary incompressible Stokes equation involving multivalued and nonmonotone boundary conditions, and a reaction- diffusion equation with Neumann boundary conditions. Firstly, we introduce a family of perturbated problems corresponding to RFFM and deliver the variational formulation of perturbated problem which is a hemivariational inequality coupled with a variational equation. Then, we prove that the existence of weak solutions to perturbated problems and the solution sequence to perturbated problems are uniformly bounded. Finally, via employing Mosco convergent approach and the theory of nonsmooth, a stability result to RFFM is established.

Makale detayları

Stability analysis for a recovered fracturing fluid model in the wellbore of shale gas reservoir

Yazarlar:

Jinxia Cen | Nicuşor Costea | Chao Min | Jen-chih Yao

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 6, pp.1533-1549

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001301868

pISSN:

2651-477X

Recovered fracturing fluid model

stability analysis

hemivariational inequality

Clarke subgradient

Mosco convergence

Sayı

Makale detayları

Stability analysis for a recovered fracturing fluid model in the wellbore of shale gas reservoir

Yazarlar: Jinxia Cen | Nicuşor Costea | Chao Min | Jen-chih Yao

Yayıncı: Hacettepe University

Ana Başlıklar: Mathematical Sciences

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 6, pp.1533-1549

Belge Tipi: Makale

Yayın Tarihi: 3/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001301868

pISSN: 2651-477X

Recovered fracturing fluid model

stability analysis

hemivariational inequality

Clarke subgradient

Mosco convergence

Sayı

Yazarlar:

Jinxia Cen | Nicuşor Costea | Chao Min | Jen-chih Yao

Yayıncı:

Hacettepe University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.52 Issue 6, pp.1533-1549

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001301868

pISSN:

2651-477X