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首先详细地阐述了用L1模线性规划算法恢复地下波阻抗的数学原理，指出了在层状地球模型假定下限制波阻抗具有极小结构的形式，与数学上用L1模线性规划算法计算地层反射系数序列是相一致的。然后用理论模型、测井记录以及野外地震资料进行了反演计算，证实了该算法是行之有效的。最后对如何引进约束条件进行了简单的讨论，指出它对于反演解的正确性和可靠性是至关重要的，对于减少解的非唯一性也是必不可少的。
First of all, the mathematical principle of L1 mode linear programming algorithm to recover ground-wave impedance is elaborated in detail. It is pointed out that the limit-wave impedance has a very small structure under the assumption of layered earth model, and is mathematically calculated by L1 mode linear programming algorithm. Coefficient sequences are consistent. Then, the theoretical model, well logging and field seismic data are used to perform inversion calculation, which proves that the algorithm is effective. Finally, a brief discussion is given on how to introduce constraints, pointing out that it is crucial for the correctness and reliability of inverse solutions and is also essential for reducing the non-uniqueness of solutions.