Abstract: Based on the data from observations,the method for determining transmisibility at any points between wells is discussed,poinint out,at the same time,some errors appearing in current literatures dealing with discontinuous functions and Frechet's derivatives.Modifications are proposed and a new formula is derived by applying the pulse variational principle and the concept that the velocity of infiltration on any disccntinuous surface is continuous and derivable.Having taken into consideration the influence of heterogeneity of reservcirs and the different parameters of the neighbouring area,the new formula is a great theoretical improvement.An example is given for illustration.In the last part,the authour brings up a challenge to the concept of non-convexity on objective function or performance index etc.

摘要： 在以井点观测方式下,以模型和系统间输出数据之差值的优化为基础而形成的空间变化参数确定方法,虽在理论和应用方面都已研究了许多年,但除分区近似平均方案外,目前还远没有得到成功,在适定性提法及合用的解法方面,均遗留下许多问题.本文仅就其中的单相二维可压缩渗流问题,在国外工作的基础上,试图做进一步探讨,并着重讨论修改G.Chavent(及W.H.Chen)梯度公式的依据、方法和效果,附带也涉及了一些与此有关的优化技术改进问题,并以计算实例说明了一些观点.

关键词: 流动系数, 梯度公式, 计算方法, 最陡下降法, 变尺度法, 目标函数, 油层, 共扼梯度法, 分布参数, 井间