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    • 59. 发明申请
    • Applied estimation of eigenvectors and eigenvalues
    • 特征向量和特征值的应用估计
    • US20050021577A1
    • 2005-01-27
    • US10855174
    • 2004-05-27
    • Nagabhushana PrabhuWei He
    • Nagabhushana PrabhuWei He
    • G06F20060101G06F7/00G06F17/16G06K9/62
    • G06F17/16G06K9/6232
    • Various applications are presented of a vector field method of computing one or more eigenvalues and eigenvectors of a symmetric matrix. The vector field method computes an eigenvector by computing a discrete approximation to the integral curve of a special tangent vector field on the unit sphere. The optimization problems embedded in each iteration of the vector field algorithms admit closed-form solutions making the vector field approach relatively efficient. Among the several vector fields discussed is a family of vector fields called the recursive vector fields. Numerical results are presented that suggest that in some embodiments the recursive vector field method yields implementations that are faster than those based on the QR method. Further, the vector field method preserves, and hence can fully exploit the sparseness on the given matrix to speed up computation even further. Preprocessing that contracts the spectral radius of the given matrix further accelerates the systems.
    • 呈现了用于计算对称矩阵的一个或多个特征值和特征向量的矢量场方法的各种应用。 矢量场方法通过计算单位球上特殊切线矢量场的积分曲线的离散近似来计算特征向量。 嵌入在矢量场算法的每次迭代中的优化问题承认封闭形式的解决方案,使得矢量场方法相对有效。 在讨论的几个矢量场中,有一系列称为递归矢量场的矢量场。 提出了数值结果,表明在一些实施例中,递归矢量场方法产生比基于QR方法的实现更快的实现。 此外,矢量场方法保留,因此可以充分利用给定矩阵上的稀疏度,进一步加速计算。 收缩给定矩阵的光谱半径的预处理进一步加速了系统。
    • 60. 发明授权
    • Method and apparatus for petroleum and gas exploration
    • 石油和天然气勘探方法和装置
    • US5311484A
    • 1994-05-10
    • US736682
    • 1991-07-26
    • Roger N. AndersonWei He
    • Roger N. AndersonWei He
    • G01V1/28G01V9/00G01V1/00
    • G01V9/005G01V1/28G01V2210/51
    • In the exploration for petroleum or natural gas, drilling targets are identified by locating local maxima of horizontal gradient in the top-of-geopressure surface of a region of exploration. The probability of finding hydrocarbon deposits is significantly improved where the drilling targets are local maxima of the horizontal gradient in the top-of-geopressure surface which coincide with local maxima of subsurface heat flow in the region of exploration, particularly where the local maxima in the horizontal gradient of the top-of-geopressured surface is concentrated across major fault offsets and are parallel to the predominant strike directions of the faults. The top-of-geopressure surface may be remotely sensed by performing complex trace analysis on reflection seismic traces gathered for the region of exploration to derive corresponding reflection strength attribute traces. The corresponding reflection strength traces are first smoothed and then subject to further complex trace analysis to derive the envelope amplitudes of the smoothed reflection strength traces, which are referred to as second reflection strength traces. The second reflection strength traces are then analyzed to locate an uppermost distinct subsurface boundary between high and low amplitude components thereof. Such a distinct boundary is then identified as the top-of-geopressure surface for the region of exploration.
    • 在勘探石油或天然气时,通过在勘探区域顶部地质压力表面定位局部最大水平梯度来确定钻井目标。 发现碳氢化合物沉积物的概率显着改善,其中钻井目标是地质压力表面中的水平梯度的局部最大值,其与勘探区域中的地下热流的局部最大值一致,特别是在 顶层地表压实表面的水平梯度集中在主要的断层偏移上,并且与断层的主要冲击方向平行。 可以通过对为探索区域收集的反射地震迹线执行复杂的轨迹分析来导出相应的反射强度属性轨迹,来远程感测地顶压力表面。 首先平滑对应的反射强度迹线,然后进行进一步的复杂轨迹分析,得到平滑的反射强度迹线的包络幅度,这被称为第二反射强度迹线。 然后分析第二反射强度迹线以在其高和低幅度分量之间定位最上面的不同的地下边界。 然后,将这样一个明确的边界确定为勘探区域的地顶压力表面。