反演问题

In Chapter 2,a steady permeability identification problem in elliptic equa-tions for two-dimensional orthotropic medium is considered.We construct afunctional,obtain its first and second Gateaux differential,and prove that thefunctional is strictly convex on a convex admissible function set.We seek to iden-tify the permeability by minimization of the above functional.

第二章研究了二维稳态正交异性介质的渗透率反演问题，我们构造了一个泛函，求得该泛函的一、二阶Gateaux微分，证明了它在一个凸的容许集上的严格凸性，并使用极小化泛函即变分方法来求解此问题。

So the adaptive genetic algorithm is efficient and feasible in back analysis for seepage coefficient of arch dam.

因此，自适应遗传算法为渗流领域求解反演问题提供了新的途径。

Finally, the methods are applied to the inversion of electromagnetic wave log in oil field.

最后，将方法应用于石油领域的电磁波测井解释反演问题中。

Genetic algorithm is one of the most effective methods to solve the inverse problem.

而遗传算法是解反演问题的有效方法之一。

This paper deals with the problem of nonlinear inversion of the SH wave equation in a homogeneous isotropic elastic half space with both transmitters and receivers in the bore hole.

讨论了均匀各向同性弹性半空间SH波动方程的非线性反演问题。

The usual travel time tomography method is based on geometrical ray theory,however,it assumes that the seismic wave has very high frequency,which often makes the tomographic inversion have ill posed problem because of the sparse ray distribution in the model space and finally affects the reliability and resolution of the tomographic results.

基于几何射线理论的旅行时层析方法假设地震波频率足够高，这样往往由于射线存模型空间的稀疏分布，使层析反演问题具有严重的不适定性，从而极大地影响层析成像结果的可靠性和分辨率。

The basis of complex structure imaging is establishing velocity model, the velocity inversion is a nonlinear problem.

建立速度模型是复杂构造成像的基础，而速度参数反演问题本身是非线性的。

It was proposed in this paper that the method combined Neural Networks with Maximum Likelihood method was used to solve this inverse problem. It solved the problem of local minima during iteration process, and also improved the precision of estimation.

本文提出了神经网络与极大似然估计相结合的方法，解决了求解上述反演问题中迭代过程发散和陷入局部最优的问题，并且得到了较高的估计精度。

On this basis, exploring the method and feasibility to extract terrestrial parameters from hyperspectral and multiangular data. On the inverse problem, we analyzed the error source of model-based inversion, and pointed out the effect of a priori information, merit function, inverse algorithm and strategy on the inverse result.

本文在综合考虑各种算法的优缺点基础上，将基于实编码的遗传算法引入遥感模型反演中，并通过与确定性搜索算法相比较，肯定了遗传算法在解决非线性反演问题中的作用。

Contrast source inversion algorithm recasts the inversion problem as a minimization of a cost functional, thus an iterative sequence is formed to reconstruct the contrast sources and contrasts.

对比源反演算法将反演问题转化为求解成本泛函的极小值问题，从而形成重构对比源和对比度的迭代序列。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。