A nonlinear model for fluid flow in a multiple-zone composite reservoir including the quadratic gradient term
A nonlinear model for fluid flow in a multiple-zone composite reservoir including the quadratic gradient term
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DOI：
10.1088/1742-2132/10/4/045009
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发表时间：
2013-07
影响因子：
1.4
通讯作者：
Xiaolin Wang;Xiangzhong Fan;Yong-ming He;R. Nie;Quan-hua Huang
中科院分区：
文献类型：
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作者：
Xiaolin Wang;Xiangzhong Fan;Yong-ming He;R. Nie;Quan-hua Huang
根据物质平衡和达西定律，推导出含二次压力梯度项的控制方程。然后，建立了含二次梯度项的多层复合油藏渗流非线性模型，并利用拉普拉斯变换进行了求解。绘制了一层(均质)、二层和三层油藏的一系列标准对数-对数曲线，分析了非线性渗流特征。由二次梯度项系数(β)控制的类型曲线随着时间的推移逐渐偏离线性模型的类型曲线。对线性模型和非线性模型的解进行了定性和定量的比较。结果表明，随着时间的延长和β的增加，线性模型和非线性模型的压力瞬变差值增大。最后，理论模型数据与现场数据的成功应用表明，非线性模型将是更准确地评价地层参数的良好工具。
Based on material balance and Darcy's law, the governing equation with the quadratic pressure gradient term was deduced. Then the nonlinear model for fluid flow in a multiple-zone composite reservoir including the quadratic gradient term was established and solved using a Laplace transform. A series of standard log–log type curves of 1-zone (homogeneous), 2-zone and 3-zone reservoirs were plotted and nonlinear flow characteristics were analysed. The type curves governed by the coefficient of the quadratic gradient term (β) gradually deviate from those of a linear model with time elapsing. Qualitative and quantitative analyses were implemented to compare the solutions of the linear and nonlinear models. The results showed that differences of pressure transients between the linear and nonlinear models increase with elapsed time and β. At the end, a successful application of the theoretical model data against the field data shows that the nonlinear model will be a good tool to evaluate formation parameters more accurately.