Numerical Solution of Inverse Problems in Filtration of a Viscoplastic Fluid

被引：1
|
作者：
Khairullin, M. Kh. [1 ]
Badertdinova, E. R. [2 ]
Khairullin, R. M. [2 ]
机构：
[1] Inst Mech & Mech Engn Separate Struct Subdiv Fed, 2-3 Lobachevskii Str, Kazan 420111, Russia
[2] Kazan Natl Res Technol Univ, 68 K Marx Str, Kazan 420015, Russia
来源：
JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS | 2023年 / 96卷 / 4期
关键词：
Bingham non-Newtonian fluid; limiting pressure gradient; vertical well; regularization; hydrodynamic studies; thermohydrodynamic studies; numerical simulation; POWER-LAW FLUIDS; FLOW;
D O I：
10.1007/s10891-023-02771-4
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
According to the data obtained in laboratory rheological studies, oils from some fields are the Bingham non-Newtonian fluids. In this work, inverse problems are solved numerically to determine the filtration parameters of the reservoir. The curves showing the change in pressure and temperature are used as the initial information. The results of the interpretation of real curves obtained from a model with a limiting gradient and from a model with a piecewise linear filtration law are compared.
引用
收藏
页码：1066 / 1071
页数：6
相关论文
共 50 条
  • [31] Inverse problems: Numerical solution of the inverse problem for the diffusion equation under spherical symmetry
    Solovev’a S.I.
    Computational Mathematics and Modeling, 2015, 26 (4) : 528 - 533
  • [32] Numerical simulation of finite strain viscoplastic problems
    Garcia Garino, C.
    Ribero Vairo, M. S.
    Andia Fages, S.
    Mirasso, A. E.
    Ponthot, J. -P.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 246 : 174 - 184
  • [33] Numerical simulation of finite strain viscoplastic problems
    García Garino, C.
    Ribero Vairo, M.S.
    Andía Fagés, S.
    Mirasso, A.E.
    Ponthot, J.-P.
    Journal of Computational and Applied Mathematics, 2013, 246 : 174 - 184
  • [34] On numerical solution of one class of inverse problems for discontinuous dynamic systems
    K. R. Aida-Zade
    S. Z. Kuliev
    Automation and Remote Control, 2012, 73 : 786 - 796
  • [35] On numerical solution of one class of inverse problems for discontinuous dynamic systems
    Aida-Zade, K. R.
    Kuliev, S. Z.
    AUTOMATION AND REMOTE CONTROL, 2012, 73 (05) : 786 - 796
  • [36] On the Green's Functions Technique for the Numerical Solution of Inverse Boundary Problems
    Chapko, Roman
    2016 IEEE INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ELECTROMAGNETIC THEORY (MMET), 2016, : 414 - 417
  • [37] NUMERICAL-METHOD FOR SOLUTION OF THERMAL-CONDUCTIVITY INVERSE PROBLEMS
    KRUKOVSKY, PG
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1979, (01): : 69 - 72
  • [38] A CHARACTERISTIC METHOD FOR NUMERICAL-SOLUTION OF THE INVERSE KINEMATIC SEISMIC PROBLEMS
    ROMANOV, ME
    ALEKSEEV, AS
    JOURNAL OF GEOPHYSICS-ZEITSCHRIFT FUR GEOPHYSIK, 1980, 48 (03): : 173 - 180
  • [39] The numerical solution of forward and inverse Robin problems for Laplace’s equation
    Dan Qu
    Yan-Bo Ma
    Boundary Value Problems, 2019
  • [40] Numerical solution of nonlinear inverse coefficient problems for ordinary differential equations
    K. R. Aida-Zade
    S. Z. Kuliev
    Computational Mathematics and Mathematical Physics, 2011, 51 : 803 - 815
12345