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    • 1. 发明申请
    • Mathematical Modeling of Shale Swelling in Water Based Muds
    • 水泥浆中页岩膨胀的数学建模
    • US20130248251A1
    • 2013-09-26
    • US13424696
    • 2012-03-20
    • Sandeep D. KULKARNIShadaab S. MAGHRABIKushabhau D. TEKEDhanashree Gajanan KULKARNI
    • Sandeep D. KULKARNIShadaab S. MAGHRABIKushabhau D. TEKEDhanashree Gajanan KULKARNI
    • E21B49/00G06G7/48G06F17/10E21B7/00
    • E21B21/06
    • A method of servicing a wellbore comprises determining a cation exchange capacity of a sample of a shale, determining a swelling characteristic of the shale using the cation exchange capacity in an equation comprising a term of the form: Az% salt=x(cation exchange capacity)y where Az% salt is a final swelling volume of the shale in the presence of an aqueous fluid having a salt concentration of z %, and x and y are empirical constants, determining a composition of a wellbore servicing fluid based on the determined swelling characteristic, and drilling the wellbore using the wellbore servicing fluid. The swelling characteristic of the shale can be determined using the cation exchange capacity of the shale and a salt concentration in an equation comprising a term of the form: Am% salt=f(m,z)*(x)(cation exchange capacity)y where Am% salt is a final swelling volume of the shale in contact with an aqueous fluid having a salt concentration of m %, f(m,z) is a function based on the salt concentration of m % relative to salt concentration of z % in the aqueous fluid in contact with the shale, and x and y are empirical constants defining the relation Az% salt=x(cation exchange capacity)y.
    • 维护井筒的方法包括确定页岩样品的阳离子交换能力,使用阳离子交换容量确定页岩的溶胀特性,该方程式包括以下形式的项:Az%salt = x(阳离子交换容量 )y,其中Az%盐是在盐浓度为z%的含水流体存在下页岩的最终溶胀体积,x和y是经验常数,基于确定的溶胀确定井筒维修流体的组成 特点,并使用井筒维修流体钻井井。 页岩的膨胀特征可以使用页岩的阳离子交换能力和在包含以下形式的项的方程式中的盐浓度来确定:Am%盐= f(m,z)*(x)(阳离子交换容量) y,其中Am%盐是与盐浓度为m%的含水流体接触的页岩的最终溶胀体积,f(m,z)是基于盐浓度相对于盐浓度的m%的函数 在与页岩接触的含水流体中的%,x和y是定义关系Az%salt = x(阳离子交换容量)y的经验常数。