Modeling method for multi-scale non-uniform discrete random medium in lunar soil layer

Abstract

The invention provides a modeling method for a multi-scale non-uniform discrete random medium in a lunar soil layer. The modeling method comprises the following steps of: step 1, determining all parameter values of the random medium in the lunar soil layer, and constructing a self-related function; step 2, carrying out Fourier transform on the constructed self-related function and solving a power spectrum density function of a space random disturbing function; step 3, adding a random phase function aiming at the solved power spectrum density function and calculating a random power spectrum function; step 4, carrying out reversed Fourier transform on the calculated power spectrum density function to obtain the space random disturbing function of the random medium; step 5, normalizing the space random disturbing function to obtain a discrete random medium model; and step 6, adding lunar rock particles into the discrete random medium model according to lunar rock sampling sample data and lunar rock particle distribution characteristics in the lunar soil layer so as to establish a multi-scale non-uniform discrete random medium model in the lunar soil layer.

Description

technical field [0001] The invention relates to the field of lunar and planetary scientific exploration, in particular to a modeling method for discrete random media in a multi-scale heterogeneous lunar soil layer. Background technique [0002] Since humans first landed on the moon in the 1960s, humans have never stopped exploring the internal structure of the moon. According to the data provided by natural and artificial moonquakes, the moon, like the earth, can also be divided into layers such as the moon's crust, moon's mantle, and moon's core. The outermost lunar crust is about 60-65km thick, and the uppermost 1-2km is mainly lunar soil and rock fragments. The analysis of Apollo samples shows that the lunar soil is mainly composed of minerals and rock debris, breccia debris, various glass substances, meteorite fragments, etc. The density of the lunar soil has a hyperbolic relationship with the depth, and the dielectric constant is 2.3 to 3.5. , the loss tangent is 0.00...

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Problems solved by technology

[0004] However, in the process of lunar exploration, when inverting the thickness of the lunar soil, the established lunar soil models are all u

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