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中文摘要：
以油层孔隙骨架为主相、孔隙中的流体为次相的两相介质为基本模型,在假设条件下,利用连续介质力学理论,依据地层流体压力作用和岩石的弹性作用相耦合,由应力连续条件、状态方程、连续性方程、运动方程和液-固耦合方程提出了声波在油层中传播的数学模型。按一维和径向两种情况对数学模型进行简化处理,并根据不同的定解条件分别给出了解析解。应用声波在油层中传播的数学模型,精确地描述了振动采油中振动波在油层中的传播规律,结果与油田实际地层测试情况基本吻合。
英文摘要：
Two phases＇ media compose a basic model with the oil layer pore framework as the main phase and the pore fluid as the second phase. Under some supposed conditions, using the mechanic theory of continuous medium, and the coupling of the formation fluid pressure and the elastic properties of the rock, the mathematical model for acoustic wave propagating in oil layer is established based on the continuous conditions of stress, the equation of state, continuing equation, motion equation, and fluid-solid coupling euation. The mathematical model under two conditions of one-dimension and radial direction is simplified, and the analytic solutions are deduced separately according to different definite conditions. This paper precisely describes the variation of physical parameters of vibrated wave propagating in oil layer based on the mathematical model. The descriptive results are basically identical with the actual formation testing results.
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