Semi-analytical homogeneous anisotropic capture zone delineation
Semi-analytical homogeneous anisotropic capture zone delineation
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DOI：
10.1016/j.jhydrol.2005.02.008
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发表时间：
2005-10
影响因子：
6.4
通讯作者：
M. Fienen;Jian Luo;P. Kitanidis
中科院分区：
文献类型：
--
作者：
M. Fienen;Jian Luo;P. Kitanidis
我们提出了一种算法，用于快速划定捕获区使用复杂的放电电位。流动是稳定的，在一个均匀的区域与各向异性transmittance的二维。该程序适用于整个流场中任意位置的任意数量的注入井和抽威尔斯井，以及均匀流分量形式的区域流。捕获区的划定是通过寻找驻点和使用粒子跟踪方案来绘制分离流线，这些流线沿沿着轨迹从驻点适当地斜向或向下倾斜。停滞点发现正是使用部分分数的扩展。初始粒子跟踪方向通过计算停滞点处的势的Hessian矩阵来确定。流线跟踪使用四阶龙格-库塔粒子跟踪计划。
We present an algorithm for the quick delineation of capture zones using complex discharge potential. The flow is steady and two-dimensional in a homogeneous domain with anisotropic transmissivity. The procedure accommodates an arbitrary number of injection and extraction wells at any locations throughout the flowfield, as well as regional flow, in the form of a uniform flow component. Capture zones are delineated by finding stagnation points and using a particle tracking scheme to plot separation streamlines along trajectories upgradient or downgradient from the stagnation points as appropriate. Stagnation points are found exactly using a partial fractions expansion. Initial particle tracking directions are determined by evaluating the Hessian matrix of the potential at stagnation points. Streamline tracing is performed using a fourth-order Runge-Kutta particle tracking scheme.