Determination Of In-Situ Permeability From Tube Wave Velocity And Attenuation

Determination Of In-Situ Permeability From Tube Wave Velocity And Attenuation
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根据管波速度和衰减确定原位渗透率

DOI:
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发表时间:
1986
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通讯作者:
Chuen Hon Arthur Cheng
Chuen Hon Arthur Cheng
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作者:
D. Burns;Chuen Hon Arthur Cheng

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许多不同作者的最新研究表明,井眼中管(斯通利波)波的相速度和衰减与原位渗透率相关。具体地说,速度降低和衰减增加的功能,在原位渗透率。Hsui等(1985)提出了两个与原位渗透率和管波衰减有关的理论模型。从其中一个模型,即修正的Biot-Rosenbaum模型中得到的结果与威廉姆斯等人(1984)的数据吻合得很好。我们已经扩展了从修改后的Biot-Rosenbaum模型的结果来检查管波速度和原位渗透率之间的关系。研究发现,对于开孔Biot-Rosenbaum模型,即,考虑到孔隙和井眼流体压力之间的连通,我们可以将管波相速度的变化与威廉姆斯等人和Zemanek等人(1985)提供的数据中的原位渗透率相匹配。此外,通过引入固有衰减,即,由于衰减不是由毕奥流体流动机制引起的,因此可以同时拟合速度和衰减数据。威廉姆斯等人还观察到,泥饼的存在似乎不会显著影响管波速度和衰减与渗透率的相关性。在Biot-Rosenbaum模型中,这是通过泥饼不是刚性的事实来解释的,并且在孔隙和井眼流体压力系统之间可以存在连通,而在它们之间没有实际的流体交换。因此,如果能够确定地层P波和S波的速度和衰减,则可以使用Biot-Rosenbaum模型来获得原位渗透率。
Recent investigations by a number of different authors have shown that the phase velocity and attenuation of the tube (Stoneley) wave in the borehole is correlated with in situ permeability. Specifically, velocity decreases and attenuation increases as a function of in situ permeability. Hsui et al. (1985) presented two theoretical models relating in situ permeability to tube wave attenuation. The results obtained from one of the models, the modified Biot-Rosenbaum model, agreed well with the data of Williams et al. (1984). We have extended the results from the modified Biot-Rosenbaum model to examine the relationship between tube wave velocity and in situ permeability. It is found that with an open borehole Biot-Rosenbaum model, i.e., allowing for the communication between the pore and borehole fluid pressures, we can match the variation of tube wave phase velocity with in situ permeability in the data presented by Williams et al. and by Zemanek et al. (1985). Furthermore, by the introduction of intrinsic attenuation, i.e., attenuation not caused by Biot fluid flow mechanism, we can fit both the velocity and attenuation data simultaneously. Williams et al. had also observed that the existence of a mudcake did not appear to significantly affect the observed correlation of tube wave velocity and attenuation with permeability. In the Biot-Rosenbaum model, this is explained by the fact that a mudcake is not rigid, and there can be communication between the pore and borehole fluid pressure systems without actual fluid exchange between them. Thus if one can determine the formation Pand S-wave velocity and attenuation, the in situ permeability may be obtainable using the Biot-Rosenbaum model.