System and method for inversion of p-wave and s-wave velocities of elastic waves under polar coordinates
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A technology of polar coordinate system and velocity inversion, which is applied in the field of oil exploration and can solve problems such as inversion
Active Publication Date: 2019-01-11
CHINA UNIV OF PETROLEUM (EAST CHINA)
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[0003] In some special environments (such as borehole environment, tunnel space, etc.), the traditional
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Embodiment 1
[0086] A P-S wave velocity inversion system for elastic waves in polar coordinates, its structure is as follows Figure 9 As shown, it includes an input module, a grid generation module, a coordinate transformation module, a gradient calculation module, a step size calculation module, a speed update module, a coordinate inverse transformation module, and an output module; the above modules are connected in sequence;
[0087] an input module configured to input an initial compressional-shear velocity model, a multi-component seismic record;
[0088] a grid generation module configured to be used for grid division in a polar coordinate system;
[0089] A coordinate transformation module configured to transform the longitudinal and shear wave velocity model into a polar coordinate system;
[0090] The gradient obtaining module is configured to obtain the longitudinal and transverse wave gradient formula under the polar coordinate system;
[0091] The step size calculation modul...
Embodiment 2
[0096] On the basis of the above-mentioned embodiments, the present invention also proposes a viscoacoustic quasi-differential equation-based forward modeling method for viscoacoustic undulating land surface, that is, an elastic wave longitudinal and shear wave velocity inversion method in polar coordinates, and its flow is as follows figure 1 As shown, it specifically includes the following steps:
[0097] Step 1: Input the initial P-S wave velocity model, multi-component seismic records, surface elevation, source and wave-building point locations;
[0098] Step 2: Grid division in polar coordinate system;
[0099] Step 3: Transform the P-wave and S-wave velocity models into the polar coordinate system; transform the initial P-wave velocity and S-wave velocity models in the Cartesian coordinate system (x, z) into the polar coordinate system (θ, r);
[0100] Step 4: Obtain the gradient formula of the longitudinal and transverse waves in the polar coordinate system; use the L2...
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Abstract
The invention provides a system and a method for inversion of p-wave and s-wave velocities of elastic waves under polar coordinates, and belongs to the field of oil exploration. The method comprises the following steps of inputting initial p-wave and s-wave velocity models and multi-component seismic records; carrying out mesh generation under a polar coordinate system; converting the initial p-wave and s-wave velocity models into the polar coordinate system; computing a p-wave and s-wave gradient formula under the polar coordinate system; computing a weighted velocity step length; updating the p-wave and s-wave velocities under the polar coordinate system and judging whether an error condition is met; converting the inverted p-wave and s-wave velocities into a Cartesian coordinate system;and outputting the inverted p-wave and s-wave velocities. According to the system and the method, the velocity inversion difficulties in some special geological environments such as a borehole environment, a tunnel space and the like can be well solved; and meanwhile, a multi-component method is introduced into the system and the method, so that the p-wave and s-wave velocities can be inverted atthe same time, the more real and accurate p-wave and s-wave velocities can be obtained, and a foundation is provided for imaging and interpretation of special geological structures such as the borehole environment, the tunnel space and the like.
Description
technical field [0001] The invention belongs to the field of petroleum exploration, and in particular relates to a system and method for elastic longitudinal and transverse wave velocity inversion in polar coordinates. Background technique [0002] The main goal of reflection seismic exploration is to extract and apply the information carried by seismic waves to obtain high-precision parameter distribution of underground media. With the deepening of seismic exploration, it is necessary to obtain the distribution of underground medium parameters with higher precision. Due to theoretical limitations, conventional seismic data processing methods cannot fully meet the needs of seismic exploration. Waveform inversion is an inversion method based on a complete theory. The distribution of underground medium parameters is obtained through nonlinear inversion based on the waveform matching between forward modeling data and observation data. Because the waveform information in the da...
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