Analytical models for sand onset under field conditions

E. Papamichos, Kenji Furui

    Research output: Contribution to journalArticle

    Abstract

    Analytical sand onset models consider the tangential stress at the hole (wellbore or perforation) to compare with the strength of the formation. This simplified criterion does not consider the effect of axial and shear stress at the hole which in experiments have been shown to play a role. This paper presents the formulation of three analytical failure criteria for wellbore or perforation failure and sand onset under field conditions. The resulting analytical expressions are suitable for implementation in programs for sand onset and sand mass analyses. Expressions for critical formation strength, critical drawdown or critical depletion for sand onset are derived. The models can be calibrated on hollow cylinder hole failure strength data or eventually on the uniaxial compressive strength. The analytical model results are compared and validated on numerical simulations using a finite element program developed for sand production studies. The comparisons show that analytical models can reproduce satisfactory sand failure diagrams under various stress anisotropy and production conditions in the field. Finally, the effect of the wellbore on the perforation stresses is analyzed by comparing finite element and analytical results.

    Original languageEnglish
    Pages (from-to)171-189
    Number of pages19
    JournalJournal of Petroleum Science and Engineering
    Volume172
    DOIs
    Publication statusPublished - 2019 Jan 1

    Fingerprint

    Analytical models
    Sand
    sand
    perforation
    drawdown
    compressive strength
    Compressive strength
    shear stress
    Shear stress
    Anisotropy
    anisotropy
    diagram
    Computer simulation
    simulation
    experiment
    Experiments

    Keywords

    • Anisotropic stresses
    • Field applications
    • Finite element method
    • Hole failure models
    • Sand production

    ASJC Scopus subject areas

    • Fuel Technology
    • Geotechnical Engineering and Engineering Geology

    Cite this

    Analytical models for sand onset under field conditions. / Papamichos, E.; Furui, Kenji.

    In: Journal of Petroleum Science and Engineering, Vol. 172, 01.01.2019, p. 171-189.

    Research output: Contribution to journalArticle

    @article{bdacf5ebd7534395bbe1a082336341ed,
    title = "Analytical models for sand onset under field conditions",
    abstract = "Analytical sand onset models consider the tangential stress at the hole (wellbore or perforation) to compare with the strength of the formation. This simplified criterion does not consider the effect of axial and shear stress at the hole which in experiments have been shown to play a role. This paper presents the formulation of three analytical failure criteria for wellbore or perforation failure and sand onset under field conditions. The resulting analytical expressions are suitable for implementation in programs for sand onset and sand mass analyses. Expressions for critical formation strength, critical drawdown or critical depletion for sand onset are derived. The models can be calibrated on hollow cylinder hole failure strength data or eventually on the uniaxial compressive strength. The analytical model results are compared and validated on numerical simulations using a finite element program developed for sand production studies. The comparisons show that analytical models can reproduce satisfactory sand failure diagrams under various stress anisotropy and production conditions in the field. Finally, the effect of the wellbore on the perforation stresses is analyzed by comparing finite element and analytical results.",
    keywords = "Anisotropic stresses, Field applications, Finite element method, Hole failure models, Sand production",
    author = "E. Papamichos and Kenji Furui",
    year = "2019",
    month = "1",
    day = "1",
    doi = "10.1016/j.petrol.2018.09.009",
    language = "English",
    volume = "172",
    pages = "171--189",
    journal = "Journal of Petroleum Science and Engineering",
    issn = "0920-4105",
    publisher = "Elsevier",

    }

    TY - JOUR

    T1 - Analytical models for sand onset under field conditions

    AU - Papamichos, E.

    AU - Furui, Kenji

    PY - 2019/1/1

    Y1 - 2019/1/1

    N2 - Analytical sand onset models consider the tangential stress at the hole (wellbore or perforation) to compare with the strength of the formation. This simplified criterion does not consider the effect of axial and shear stress at the hole which in experiments have been shown to play a role. This paper presents the formulation of three analytical failure criteria for wellbore or perforation failure and sand onset under field conditions. The resulting analytical expressions are suitable for implementation in programs for sand onset and sand mass analyses. Expressions for critical formation strength, critical drawdown or critical depletion for sand onset are derived. The models can be calibrated on hollow cylinder hole failure strength data or eventually on the uniaxial compressive strength. The analytical model results are compared and validated on numerical simulations using a finite element program developed for sand production studies. The comparisons show that analytical models can reproduce satisfactory sand failure diagrams under various stress anisotropy and production conditions in the field. Finally, the effect of the wellbore on the perforation stresses is analyzed by comparing finite element and analytical results.

    AB - Analytical sand onset models consider the tangential stress at the hole (wellbore or perforation) to compare with the strength of the formation. This simplified criterion does not consider the effect of axial and shear stress at the hole which in experiments have been shown to play a role. This paper presents the formulation of three analytical failure criteria for wellbore or perforation failure and sand onset under field conditions. The resulting analytical expressions are suitable for implementation in programs for sand onset and sand mass analyses. Expressions for critical formation strength, critical drawdown or critical depletion for sand onset are derived. The models can be calibrated on hollow cylinder hole failure strength data or eventually on the uniaxial compressive strength. The analytical model results are compared and validated on numerical simulations using a finite element program developed for sand production studies. The comparisons show that analytical models can reproduce satisfactory sand failure diagrams under various stress anisotropy and production conditions in the field. Finally, the effect of the wellbore on the perforation stresses is analyzed by comparing finite element and analytical results.

    KW - Anisotropic stresses

    KW - Field applications

    KW - Finite element method

    KW - Hole failure models

    KW - Sand production

    UR - http://www.scopus.com/inward/record.url?scp=85053786754&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85053786754&partnerID=8YFLogxK

    U2 - 10.1016/j.petrol.2018.09.009

    DO - 10.1016/j.petrol.2018.09.009

    M3 - Article

    VL - 172

    SP - 171

    EP - 189

    JO - Journal of Petroleum Science and Engineering

    JF - Journal of Petroleum Science and Engineering

    SN - 0920-4105

    ER -