US 2026/0243887 A1 · TIME-SERIES INSAR METHOD FOR MONITORING MULTI-DIMENSIONAL DEFORMATION OF LANDSLIDE

Abstract

A time-series InSAR method for monitoring multi-dimensional deformation of a landslide includes the following steps: firstly, obtaining a deformation observation of a target landslide in a line-of-sight direction; and subsequently inputting the deformation observation into a monitoring model with a fractal composite structure deformation constraint model to thereby obtain deformation time series of a sliding mass in vertical, east-west, downslope, and perpendicular-to-downslope directions. This method can simultaneously obtain characteristics of the deformation time series of the sliding mass along four dimensions, namely the vertical, east-west, downslope, and perpendicular-to-downslope directions. A model constructed by the method covers linear, acceleration, periodicity, high frequency, and thermal expansion deformation, fully considering complexity of landslide deformation and having strong adaptability. Moreover, the model emphasizes differences in deformations between the vertical and east-west directions, and between the downslope and perpendicular-to-downslope directions, and constructs different constraint conditions to form independent deformation model constraints.

A time-series interferometric synthetic aperture radar (InSAR) method for monitoring multi-dimensional deformation of a landslide, comprising the following steps:

obtaining a deformation observation of a target landslide in a line-of-sight direction;
and
inputting the deformation observation of the target landslide in the line-of-sight direction into a monitoring model to obtain deformation time series of a sliding mass in a vertical direction, an east-west direction, a downslope direction, and a perpendicular-to-downslope direction, wherein the monitoring model at least comprises a fractal composite structure deformation constraint model;
constraining vertical deformation and east-west deformation based on a first constraint condition constructed by the fractal composite structure deformation constraint model;
and constraining downslope deformation and perpendicular-to-downslope deformation based on a second constraint condition constructed by the fractal composite structure deformation constraint model;
wherein the fractal composite structure deformation constraint model comprises a first constraint model and a second constraint model, the first constraint model is a constraint model for time-series deformations in the vertical direction and the east-west direction, and the second constraint model is a constraint model for time-series deformations in the downslope direction and the perpendicular-to-downslope direction;
wherein the time-series InSAR method further comprises:
constructing the fractal composite structure deformation constraint model, which at least comprises:
constructing the first constraint model and the second constraint model by fully combining mathematical models of surface deformations in different types of regions, specifically comprising the following steps:
obtaining first parameters of the fractal composite structure deformation constraint model, wherein the first parameters comprise:
the vertical deformation and the east-west deformation corresponding to an m-th moment, parameters of a constraint model for the vertical deformation, parameters of a constraint model for the east-west deformation, an acquisition time of a first synthetic aperture radar (SAR) image, an acquisition time of an m-th SAR image, thermal expansion deformation coefficients in the vertical direction and the east-west direction, and a temperature difference between the acquisition time of the m-th SAR image and an initial time;
and constructing the first constraint model based on the first parameters:
{
d
m
,
U
=
a
0
+
a
1
⁢
(
t
m
-
t
0
)
+
1
2
⁢
a
2
(
t
m
-
t
0
)
2
+
1
6
⁢
a
3
⁢
(
t
m
-
t
0
)
3
+
A
1
⁢
sin
⁢
(
2
⁢
π
⁢
t
m
/
T
)
+
A
2
⁢
cos
⁡
(
2
⁢
π
⁢
t
m
/
T
)
+
α
U
⁢
γ
m
d
m
,
E
=
b
0
+
b
1
⁢
(
t
m
-
t
0
)
+
1
2
⁢
b
2
(
t
m
-
t
0
)
2
+
1
6
⁢
b
3
⁢
(
t
m
-
t
0
)
3
+
B
1
⁢
sin
⁢
(
2
⁢
π
⁢
t
m
/
T
)
+
B
2
⁢
cos
⁡
(
2
⁢
π
⁢
t
m
/
T
)
+
α
E
⁢
γ
m
where dm,U and dm,E are the vertical deformation and the east-west deformation corresponding to the m-th moment, respectively, a0, a1, a2, a3, A1, and A2 are the parameters of the constraint model for the vertical deformation, b0, b1, b2, b3, B1, and B2 are the parameters of the constraint model for the east-west deformation, t0 represents the initial time, namely the acquisition time of the first SAR image, tm represents the m-th moment, namely the acquisition time of the m-th SAR image, αU and αE represents the thermal expansion deformation coefficients in the vertical direction and the east-west direction, respectively, and γm represents the temperature difference between the acquisition time tm of the m-th SAR image and the initial time t0;
and
obtaining second parameters of the fractal composite structure deformation constraint model, wherein the second parameters comprise:
the downslope deformation and the perpendicular-to-downslope deformation corresponding to the m-th moment, parameters of a constraint model for the downslope deformation, parameters of a constraint model for the perpendicular-to-downslope deformation, the acquisition time of the first SAR image, the acquisition time of the m-th SAR image, thermal expansion deformation coefficients in the downslope direction and the perpendicular-to-downslope direction, and the temperature difference between the acquisition time of the m-th SAR image and the initial time;
and constructing the second constraint model based on the second parameters:
{
d
m
,
K
=
p
0
+
p
1
⁢
(
t
m
-
t
0
)
+
1
2
⁢
p
2
(
t
m
-
t
0
)
2
+
1
6
⁢
p
3
⁢
(
t
m
-
t
0
)
3
+
H
1
⁢
sin
⁢
(
2
⁢
π
⁢
t
m
/
T
)
+
H
2
⁢
cos
⁡
(
2
⁢
π
⁢
t
m
/
T
)
+
α
K
⁢
γ
m
d
m
,
T
=
q
0
+
q
1
⁢
(
t
m
-
t
0
)
+
1
2
⁢
q
2
(
t
m
-
t
0
)
2
+
1
6
⁢
q
3
⁢
(
t
m
-
t
0
)
3
+
I
1
⁢
sin
⁡
(
2
⁢
π
⁢
t
m
/
T
)
+
I
2
⁢
cos
⁡
(
2
⁢
π
⁢
t
m
/
T
)
+
α
T
⁢
γ
m
where dm,K and dm,T are the downslope deformation and the perpendicular-to-downslope deformation corresponding to the m-th moment, respectively, p0, p1, p2, p3, H1, and H2 are the parameters of the constraint model for the downslope deformation, q0, q1, q2, q3, I1, and I2 are the parameters of the constraint model for the perpendicular-to-downslope deformation, t0 represents the initial time, namely the acquisition time of the first SAR image, tm represents the m-th moment, namely the acquisition time of the m-th SAR image, αK and αT represents the thermal expansion deformation coefficients in the downslope direction and the perpendicular-to-downslope direction, respectively, and γm represents the temperature difference between the acquisition time tm of the m-th SAR image and the initial time t0.

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Time-series insar method for monitoring multi-dimensional deformation of landslide

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Time-series insar method for monitoring multi-dimensional deformation of landslide

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Abstract

Claims3