dorsal/arxiv
View SchemaRelationship between acoustic body waves and in situ stresses around a borehole
| Authors | André Rousseau |
|---|---|
| Categories | |
| ArXiv ID | physics/0503153 |
| URL | https://arxiv.org/abs/physics/0503153 |
Abstract
This paper shows that there are three types of shape of acoustic body waves propagating inside competent and homogeneous formations penetrated by a borehole : simple, double, and resonant. This fact is connected to the modifications undergone by the area located around a well after drilling in relation to in situ state of stress. There are overstressed and understressed vertical cylindrical zones with "bubble-shaped" cross-sections, in which acoustic body waves are supposed to reflect. The horizontal size and the shape of the stress modified areas depend on the values of (K1+K2)/2 - with K1=SH/Sv (the overburden pressure) and K2=Sh/Sv -, that is to say on the in situ horizontal stress and the anisotropy of this stress. The calculation of the velocities of the P and S double waves allows us to evaluate the radial thicknesses of these stress modified areas. As their values are different according to whether they result from P or S waves, we propose an explanation based on their wavelengths. The comparisons with other works on the in situ stress of the studied boreholes allow us to propose a method for evaluating the horizontal stress and its anisotropy, thanks to the estimation of the value (K1+K2)/2.
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"abstract": "This paper shows that there are three types of shape of acoustic body waves\npropagating inside competent and homogeneous formations penetrated by a\nborehole : simple, double, and resonant. This fact is connected to the\nmodifications undergone by the area located around a well after drilling in\nrelation to in situ state of stress. There are overstressed and understressed\nvertical cylindrical zones with \"bubble-shaped\" cross-sections, in which\nacoustic body waves are supposed to reflect. The horizontal size and the shape\nof the stress modified areas depend on the values of (K1+K2)/2 - with K1=SH/Sv\n(the overburden pressure) and K2=Sh/Sv -, that is to say on the in situ\nhorizontal stress and the anisotropy of this stress. The calculation of the\nvelocities of the P and S double waves allows us to evaluate the radial\nthicknesses of these stress modified areas. As their values are different\naccording to whether they result from P or S waves, we propose an explanation\nbased on their wavelengths. The comparisons with other works on the in situ\nstress of the studied boreholes allow us to propose a method for evaluating the\nhorizontal stress and its anisotropy, thanks to the estimation of the value\n(K1+K2)/2.",
"arxiv_id": "physics/0503153",
"authors": [
"Andr\u00e9 Rousseau"
],
"categories": [
"physics.geo-ph"
],
"title": "Relationship between acoustic body waves and in situ stresses around a borehole",
"url": "https://arxiv.org/abs/physics/0503153"
},
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