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页岩横向各向同性地应力预测模型中弹性参数的确定方法

田鹤 曾联波 舒志国 包汉勇 徐翔 毛哲 王小垚

田鹤, 曾联波, 舒志国, 等, 2019. 页岩横向各向同性地应力预测模型中弹性参数的确定方法. 地质力学学报, 25 (2): 166-176. DOI: 10.12090/j.issn.1006-6616.2019.25.02.015
引用本文: 田鹤, 曾联波, 舒志国, 等, 2019. 页岩横向各向同性地应力预测模型中弹性参数的确定方法. 地质力学学报, 25 (2): 166-176. DOI: 10.12090/j.issn.1006-6616.2019.25.02.015
TIAN He, ZENG Lianbo, SHU Zhiguo, et al., 2019. METHOD FOR DETERMINING ELASTIC PARAMETERS FOR THE PREDICTION MODEL OF SHALE TRANSVERSELY ISOTROPIC GEOSTRESS. Journal of Geomechanics, 25 (2): 166-176. DOI: 10.12090/j.issn.1006-6616.2019.25.02.015
Citation: TIAN He, ZENG Lianbo, SHU Zhiguo, et al., 2019. METHOD FOR DETERMINING ELASTIC PARAMETERS FOR THE PREDICTION MODEL OF SHALE TRANSVERSELY ISOTROPIC GEOSTRESS. Journal of Geomechanics, 25 (2): 166-176. DOI: 10.12090/j.issn.1006-6616.2019.25.02.015

页岩横向各向同性地应力预测模型中弹性参数的确定方法

doi: 10.12090/j.issn.1006-6616.2019.25.02.015
基金项目: 

国家自然科学基金委员会—中石化联合基金 U1663203

详细信息
    作者简介:

    田鹤(1993-), 男, 在读硕士, 从事页岩地应力地球物理预测方法研究。E-mail:th1556243165@gmail.com

    通讯作者:

    曾联波(1967-), 男, 博士, 教授, 研究方向为应力场分析与应用。E-mail:lbzeng@sina.com

  • 中图分类号: P618.13;P631.8

METHOD FOR DETERMINING ELASTIC PARAMETERS FOR THE PREDICTION MODEL OF SHALE TRANSVERSELY ISOTROPIC GEOSTRESS

  • 摘要: 水力压裂是页岩气开采的重要方式,地应力分布是页岩水力压裂的地质依据。基于横向各向同性模型进行测井地应力计算时需要首先确定C11C33C44C66C13五个弹性参数,其中C11C13利用测井资料无法直接获得,需要通过预测模型进行估算。利用四川盆地东南部龙马溪组页岩实测超声波资料,建立了五种弹性参数的预测模型,根据模型中是否应用斯通利波将其分为两类,一类是有斯通利波资料的ANNIE、MANNIE1和MANNIE2模型;另一类为缺少斯通利波资料的MANNIE3和V-reg模型。对比不同模型的预测效果,结果表明:第一类模型中MANNIE1模型确定的弹性参数与实测值偏差小,效果最好;第二类模型中V-reg模型的预测效果优于MANNIE3模型。两类模型相比,缺少斯通利波模型的预测效果稍差,但可以同时预测C11C66C13,在实际应用过程中具有更大的适用范围。利用V-reg模型确定的弹性参数在焦石坝地区测井地应力计算中进行应用,计算的地应力值与实测值误差小于10%,能够更准确的反映实际地层情况。

     

  • 图  1  页岩横向各向同性单元体

    Figure  1.  Element of shale representing tranversely isotropic body

    图  2  ANNIE模型流程图[12](Vstonely为斯通利波速度)

    Figure  2.  Workflow of ANNIE[12] (Vstonely is stonely wave velocity)

    图  3  MANNIE1模型流程图[13]

    Figure  3.  Workflow of MANNIE1[13]

    图  4  组合参数2(C66-C44)+C33C11之间交会图(数据来源参考文献[27])

    CN—四川长宁; XS—贵州习水; QJ—重庆黔江

    Figure  4.  Cross-plot of combination stiffness 2(C66-C44)+C33 versus C11 (data from reference [27])

    图  5  MANNIE2模型流程图[14]

    Figure  5.  Workflow of MANNIE2[14]

    图  6  各向异性参数γε之间变化关系(数据来源参考文献[27])

    CN—四川长宁; XS—贵州习水; QJ—重庆黔江

    Figure  6.  Cross-plot of anisotropy parameter γ versus ε (data from reference [27])

    图  7  MANNIE3模型流程图[15]

    Figure  7.  Workflow of MANNIE3[15]

    图  8  Vp(0°)与Vp(90°)交会图(数据来源参考文献[27])

    CN—四川长宁; XS—贵州习水; QJ—重庆黔江

    Figure  8.  Cross-plot of P-wave velocity at 0° versus 90° (data from reference [27])

    图  9  Vs(0°)与Vsh(90°)交会图(数据来源参考文献[27])

    CN—四川长宁; XS—贵州习水; QJ—重庆黔江

    Figure  9.  Cross-plot of S-wave velocity at 0° versus 90° (data from reference [27])

    图  10  V-reg模型流程图[15]

    Figure  10.  Workflow of V-reg[15]

    图  11  不同模型实测C11与预测C11交会图

    Figure  11.  Predicted C11 vs. measured C11 of different models

    图  12  不同模型实测C66与预测C66交会图

    Figure  12.  Predicted C66 vs. measured C66 of different models

    图  13  不同模型实测C12与预测C12交会图

    Figure  13.  Predicted C12vs. measured C12 of different models

    图  14  不同模型预测离散性

    Figure  14.  Prediction discreteness of different models

    图  15  不同模型预测偏差

    Figure  15.  Prediction bias of different models

    图  16  利用各向同性模型和横向各向同性模型计算的最小水平地应力

    Figure  16.  Minimum horizontal geostress computed by isotropic model and transversely isotropy model

    表  1  不同井段不同地应力模型误差对比

    Table  1.   Error comparison between two different geostress models in different well sections

    层段 顶深/m 底深/m σh (Test)/MPa σh (VTI)/MPa σh (VTI)相对误差/% σh (ISO)/MPa σh (ISO)相对误差/%
    8 3583.71 3583.86 75.22 78.45 4.29 72.29 3.90
    7 3592.06 3592.33 78.04 76.31 2.22 71.51 8.37
    6 3604.98 3605.27 75.95 76.46 0.67 71.78 5.49
    1 3645.6 3645.72 82.24 74.37 9.57 69.43 15.58
    平均值 4.18 8.32
    下载: 导出CSV
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