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    • 1. 发明授权
    • Vertical 1-D inversion with thin layers of equal thickness
    • 垂直1-D反转,厚度相同的薄层
    • US06591194B1
    • 2003-07-08
    • US09794963
    • 2001-02-27
    • Liming YuBerthold KriegshäuserOtto FaniniJiaqi Xiao
    • Liming YuBerthold KriegshäuserOtto FaniniJiaqi Xiao
    • G01V318
    • G01V3/28
    • Measurements made by a multicomponent logging tool in a borehole are inverted to obtain horizontal and vertical resistivities of a formation traversed by the borehole. The model includes layers of equal thickness, each layer having a horizontal resistivity and a vertical resistivity. For a vertical borehole, the inversion is done by first iteratively obtaining the horizontal resistivities of the layer using the Hzz component of the data wherein in successive steps of the iteration, the horizontal resistivity for each layer is multiplied by a ratio of a model Hzz output to the measured Hzz. The vertical resistivity model is set equal to the derived horizontal resistivities and the iterative process is repeated using the ratio of the model Hxx output to the measured Hxx. A similar process is used for boreholes with a known inclination. For such an inclined borehole, the two horizontal components Hxx and Hyy are summed to give a horizontal measurement Hxxyy that is independent of tool rotation. The first step uses a ratio of the model Hzz output to the measured Hzz data to obtain an apparent resistivity, and, in the second step, the ratio of the model Hxxyy output and the measured Hxyy data are used along with a known relationship between the apparent resistivity and the horizontal and vertical resistivities in an iterative manner. No Jacobians or gradients are necessary in the method, so that computational times are small relative to prior art gradient methods.
    • 通过钻孔中的多组分测井工具进行的测量被反转,以获得由井眼穿过的地层的水平和垂直电阻率。 该模型包括相同厚度的层,每层具有水平电阻率和垂直电阻率。 对于垂直钻孔,通过首先使用数据的Hzz分量迭代地获得层的水平电阻率来进行反演,其中在迭代的连续步骤中,每层的水平电阻乘以模型Hzz输出的比率 到测量的Hzz。 将垂直电阻率模型设置为等于导出的水平电阻率,并使用Hxx输出模型与测量的Hxx的比值重复迭代过程。 类似的工艺用于具有已知倾角的钻孔。 对于这样的倾斜钻孔,两个水平分量Hxx和Hyy相加得到一个与工具旋转无关的水平测量Hxxyy。 第一步使用Hzz型输出与测量的Hzz数据的比率来获得视电阻率,并且在第二步中,使用模型Hxxyy输出和测量的Hxyy数据的比率以及已知的关系 视电阻率和水平和垂直电阻率的迭代方式。 在该方法中不需要Jacobian或梯度,因此相对于现有技术的梯度方法,计算时间较小。
    • 2. 发明授权
    • Real time processing of multicomponent induction tool data in highly deviated and horizontal wells
    • 在高度偏斜和水平井中实时处理多组分感应工具数据
    • US07043370B2
    • 2006-05-09
    • US10652762
    • 2003-08-29
    • Liming YuBerthold KriegshäuserOtto Fanini
    • Liming YuBerthold KriegshäuserOtto Fanini
    • G01V3/18
    • G01V3/28
    • A method is discussed for obtaining resistivity values in a horizontal or highly-deviated wellbore penetrating an anisotropic formation layer. Multi-component data is obtained from the formation layer. An initial value of horizontal and vertical resistivity can be determined by using a whole space model and assuming an isotropic layer. Revised values of the vertical and horizontal resistivities are obtained through a first and second inversion process. A first inversion is performed on the horizontal resistivity, holding a value of vertical resistivity constant. A second inversion is performed on the vertical resistivity, holding a value of horizontal resistivity constant. These inversions are iterated until a desired convergence is achieved.
    • 讨论了一种在穿透各向异性形成层的水平或高偏差井眼中获得电阻率值的方法。 从成层层获得多组分数据。 水平和垂直电阻率的初始值可以通过使用整个空间模型并假设各向同性层来确定。 通过第一和第二反演过程获得垂直和水平电阻率的修正值。 对水平电阻率执行第一次反转,保持垂直电阻率常数值。 对垂直电阻率进行第二次反转,保持水平电阻率的常数。 迭代这些反转,直到实现所需的收敛。