收稿日期: 2009-12-04
修回日期: 2010-03-15
网络出版日期: 2011-02-10
A New Method of Studying Quantitatively the Non-Linear Elasticity Deformation Rock Volumetric Strain
Received date: 2009-12-04
Revised date: 2010-03-15
Online published: 2011-02-10
砂岩气藏地层压力下降岩石发生非线弹性变形时，定量研究非线弹性岩石体积应变的大小是个难点。由非线弹性岩石弹性模量与有效压力满足的乘幂关系，推导了地面实验和地层条件岩石体积应变理论关系，提出了一种定量研究岩石体积应变的试算迭代法，并结合岩石变形实验岩石体积应变与有效压力变化数据，求取了岩石非线弹性变形常数a、b值，定量预测了非线弹性岩石体积应变的大小。该方法应用表明，地面实验条件非线弹性岩石体积应变、孔隙度、地层压力下降孔隙度实验预测值或实测值与该方法预测值相对误差分别为≤7.39%、≤0.80%和≤3.92%，具有较好的吻合性，能够实现地面实验数据向地层条件数据的转换，为定量研究非线弹性岩石体积应变提供了有效途径。
李莲明, 李治平, 车艳 . 一种定量研究非线弹性岩石体积应变新方法[J]. 天然气地球科学, 2011 , 22(1) : 129 -135 . DOI: 10.11764/j.issn.1672-1926.2011.01.129
When the rock is deformed by pressure decreasing in the formation, it is difficult to study the non-linear elasticity deformation rock volumetric strain.According to the power relationship between the non\|elastic deformation rock elastic modelling quantity and effective pressure, this paper establishes the theoretic expressions between rock volumetric strain and effective pressure under the surface experiment conditions and the formation conditions, proposese a new method of the “Trial Calculation & Iteration”used to study the non-linear elasticity deformation rock volumetric strain quantitatively, calculates the a and b values of the rock non\|linear elasticity deformation constants by means of the experiment data between the non-linear elasticity rock volumetric strain and the effective pressure, and forecastes the non-linear elasticity deformation rock volumetric strain quantitatively.The application of this method indicates that the relative errors between the predictive values of the non-linear rock volumetric strain, rock porosity under the surface experiment conditions ＆ rock porosity of the formation pressure decrease and the experiment values or the predictive values using experiment data of them should be less than or equal to 7.39%, 0.80% & 3.92% and preferable consistance, and that it is possible to convert from the experimental data of the surface conditions to the data of reservoir conditions.This method provides an effective way to calculate the non-linear elasticity deformation rock volumetric strain quantitatively.
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