改进的Ⅱk反褶积算法在变流量试井中的应用

Application of improved Ⅱk deconvolution method in variable flow well test

引入定义在混合代数和三角多项式空间的5阶NUAT B样条,建立基于IIk模型的改进型反褶积算法。结果表明:改进型反褶积算法继承了Ⅱk算法的稳定性,加强了Ⅱk反褶积算法对弧度的适应性;相对于目前存在的变流量反褶积方法,改进的算法不仅对常见的试井数据具有高度的精确性和适应性,而且可得到更多更准确的地层资料,能够消除叠加效应影响,并对具有复杂压力导数曲线的试井数据具有良好的适应性。

Through introducing the five order NUAT B-spline deconvoluton scheme defined in a mixed algebraic and trigonometric polynomial space,an improved deconvolution algorithm was established based on IIk model.The results show that the new algorithm not only inherits the stability advantage of Ⅱk algorithm,but also strengthens the curvature adaptation of Ⅱk deconvolution.Compared with the existent variable flow well test algorithms,the new algorithm has high accuracy and adaptability to common well test data.More amount and more accurate strata information can be obtained,and the stack effect can be eliminated using this method.And it also has good adaptability to well test data with complex pressure derivative curve.