This work presents a theoretical method for surface love waves in poroelastic media loaded with a viscous fluid. A complex analytic form of the dispersion equation of surface love waves has been developed using an original resolution based on pressure–displacement formulation. The obtained complex dispersion equation was separated in real and imaginary parts. mathematica software was used to solve the resulting nonlinear system of equations. The effects of surface layer porosity and fluid viscosity on the phase velocity and the wave attenuation dispersion curves are inspected. The numerical solutions show that the wave attenuation and phase velocity variation strongly depend on the fluid viscosity, surface layer porosity, and wave frequency. To validate the original theoretical resolution, the results in literature in the case of an homogeneous isotropic surface layer are used. The results of various investigations on love wave propagation can serve as benchmark solutions in design of fluid viscosity sensors, in nondestructive testing (NDT) and geophysics.

References

References
1.
Kuznetsov
,
S. V.
,
2010
, “
Love Waves in Nondestructive Diagnostics of Layered Composites
,”
Acoust. Phys.
,
56
(
6
), pp.
877
892
.
2.
Kielczynski
,
P.
, and
Szalewski
,
M.
,
2011
, “
An Inverse Method for Determining the Elastic Properties of Thin Layers Using Love Surface Waves
,”
Inverse Probl. Sci. Eng.
,
19
(
1
), pp.
31
43
.
3.
Kielczynski
,
P.
,
Szalewski
,
M.
,
Balcerzak
,
A.
, and
WiejaI
,
K.
,
2015
, “
Group and Phase Velocity of Love Waves Propagating in Elastic Functionally Graded Materials
,”
Arch. Acoust.
,
40
(
2
), pp.
273
281
.
4.
Safani
,
J.
,
O'Neill
,
A.
,
Matsuoka
,
T.
, and
Yoshinori
,
S.
,
2005
, “
Applications of Love Wave Dispersion for Improved Shear Wave Velocity Imaging
,”
J. Environ. Eng. Geophys.
,
10
(
2
), pp.
135
150
.
5.
Luo
,
Y.
,
Xia
,
J.
,
Liu
,
J.
,
Liu
,
Q.
, and
Xu
,
S.
,
2007
, “
Joint Inversion of High Frequency Surface Waves With Fundamental and Higher Modes
,”
J. Appl. Geophys.
,
62
(
4
), pp.
375
384
.
6.
Luo
,
Y.
,
Xia
,
J.
,
Xu
,
Y.
,
Zeng
,
C.
, and
Liu
,
J.
,
2010
, “
Finite-Difference Modeling and Dispersion Analysis of High Frequency Love Waves for Near Surface Applications
,”
Pure Appl. Geophys.
,
167
(
12
), pp.
1525
1536
.
7.
Fukao
,
Y.
, and
Abe
,
K.
,
1971
, “
Multimode Love Wave Excited by Shallow and Deep Earthquakes
,”
Bull. Earthquake Res. Inst.
,
49
, pp.
1
12
.
8.
Bautista
,
E. O.
, and
Stoll
,
R. D.
,
1995
, “
Remote Determinations of In Situ Sediment Parameters Using Love Waves
,”
J. Acoust. Soc. Am.
,
98
(
2
), pp.
1090
1096
.
9.
Boxberger
,
T.
,
Picozzi
,
M.
, and
Parolai
,
S.
,
2011
, “
Shallow Geology Characterization Using Rayleigh and Love Wave Dispersion Curves Derived From Seismic Noise Array Measurements
,”
J. Appl. Geophys.
,
75
(
2
), pp.
345
354
.
10.
Kielczynski
,
P.
, and
Plowiec
,
R.
,
1989
, “
Determination of the Shear Impedance of Viscoelastic Liquids Using Love and Bleustein-Gulyaev Surface Waves
,”
J. Acoust. Soc. Am.
,
86
(
2
), pp.
818
827
.
11.
Rostocki
,
A. J.
,
Siegoczynski
,
R. M.
,
Kielczynski
,
P.
, and
Szalewski
,
M.
,
2010
, “
An Application of Love Sh Waves for the Viscosity Measurements of Triglycerides at High Pressures
,”
High Pressure Res.
,
30
(
1
), pp.
88
92
.
12.
Kielczynski
,
P.
,
Szalewski
,
M.
,
Balcerzak
,
A.
,
Rostocki
,
A. J.
, and
Tefelski
,
D.
,
2011
, “
Application of Sh Surface Acoustic Waves for Measuring the Viscosity of Liquids in Function of Pressure and Temperature
,”
Ultrasonics
,
51
(
8
), pp.
921
924
.
13.
Liu
,
J.
,
2014
, “
A Simple and Accurate Model for Love Wave Based Sensors: Dispersion Equation and Mass Sensitivity
,”
AIP Adv.
,
4
(
7
), pp.
1
11
.
14.
Raimbault
,
V.
,
Rebire
,
D.
,
Dejous
,
C.
,
Guirardel
,
M.
, and
Conedera
,
V.
,
2008
, “
Acoustic Love Wave Platform With PDMS Microfluidic Chip
,”
Sens. Actuators A: Phys.
,
142
(
1
), pp.
160
165
.
15.
Chen
,
X.
, and
Liu
,
D.
,
2010
, “
Analysis of Viscosity Sensitivity for Liquid Property Detection Applications Based on Saw Sensors
,”
Mater. Sci. Eng.: C
,
30
(
8
), pp.
1175
1182
.
16.
Wang
,
W.
,
Oh
,
H.
,
Lee
,
K.
, and
Yang
,
S.
,
2008
, “
Enhanced Sensitivity of Wireless Chemical Sensor Based on Love Wave Mode
,”
Jpn. J. Appl. Phys.
,
47
(
9
), pp.
7372
7379
.
17.
Hoang
,
T. B.
,
Hanke
,
U.
,
Johannessen
,
E. A.
, and
Johannessen
,
A.
,
2016
, “
Design of a Love Wave Mode Device for Use in a Microfabricated Glucose Sensor
,” IEEE International Frequency Control Symposium (
IFCS
), New Orleans, LA, May 9–12, pp.
1
5
.
18.
Vikstrm
,
A.
, and
Voinova
,
M. V.
,
2016
, “
Soft-Film Dynamics of Sh-Saw Sensors in Viscous and Viscoelastic Fluids
,”
Sensing Bio-Sens. Res.
,
11
(
2
), pp.
78
85
.
19.
Länge, K
.,
Rapp, B. E.
, and
Rapp
,
M.
,
2008
, “
Surface Acoustic Wave Biosensors: A Review
,”
Anal. Bioanal. Chem.
,
391
(
5
), pp.
1509
1519
.
20.
Oh
,
H. K.
,
Wang
,
W.
,
Lee
,
K.
,
Min
,
C.
, and
Yang
,
S.
,
2009
, “
The Development of a Wireless Love Wave Biosensor on 41° YX LiNbO3
,”
Smart Mater. Struct.
,
18
(
2
), p. 025008.
21.
Pramanik
,
A.
, and
Gupta
,
S.
,
2016
, “
Propagation of Love Waves in Composite Layered Structures Loaded With Viscous Liquid
,”
Procedia Eng.
,
144
, pp.
461
467
.
22.
Du
,
J.
,
Xian
,
J.
,
Wang
,
J.
, and
Yong
,
Y. K.
,
2008
, “
Propagation of Love Waves in Prestressed Piezoelectric Layered Structures Loaded With Viscous Liquid
,”
Acta Mech. Solida Sin.
,
21
(
6
), pp.
542
548
.
23.
Kim
,
J. O.
,
1992
, “
The Effect of a Viscous Fluid on Love Waves in a Layered Media
,”
J. Acoust. Soc. Am.
,
91
(
6
), pp.
3099
3103
.
24.
Wu
,
T. T.
, and
Wu
,
T. Y.
,
2000
, “
Surface Waves in Coated Anisotropic Medium Loaded With Viscous Liquid
,”
ASME J. Appl. Mech.
,
67
(
2
), pp.
262
266
.
25.
Guo
,
F. L.
, and
Sun
,
R.
,
2008
, “
Propagation of Bleustein-Gulyaev Wave in 6 mm Piezoelectric Materials Loaded With Viscous Liquid
,”
Int. J. Solids Struct.
,
45
(
13
), pp.
3699
3710
.
26.
Kielczynski
,
P.
,
Szalewski
,
M.
, and
Balcerzak
,
A.
,
2012
, “
Effect of a Viscous Liquid Loading on Love Wave Propagation
,”
Int. J. Solids Struct.
,
49
(
17
), pp.
2314
2319
.
27.
McMullan
,
C.
,
Mehta
,
H.
,
Gizeli
,
E.
, and
Lowe
,
C. R.
,
2000
, “
Modeling of the Mass Sensitivity of the Love Wave Device in the Presence of a Viscous Liquid
,”
J. Phys. D: Appl. Phys.
,
33
(
23
), pp.
3053
3059
.
28.
Biot
,
M. A.
,
1956
, “
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid—I: Low-Frequency Range
,”
J. Acoust. Soc. Am.
,
28
(
2
), pp.
168
178
.
29.
Biot
,
M. A.
,
1956
, “
Theory of Propagation of Elastic Waves in a Fluid Saturated Porous Solid—II: Higher Frequency Range
,”
J. Acoust. Soc. Am.
,
28
(
2
), pp.
179
191
.
30.
Biot
,
M. A.
,
1962
, “
Mechanics of Deformation and Acoustic Propagation in Porous Media
,”
J. Appl. Phys.
,
33
(
4
), pp.
1482
1498
.
31.
Biot
,
M. A.
,
1962
, “
Generalized Theory of Acoustic Propagation in Porous Dissipative Media
,”
J. Acoust. Soc. Am.
,
34
(
9A
), pp.
1254
1264
.
32.
Wang
,
H. F.
,
2000
,
Theory of Linear Poroelasticity With Applications to Geomechanics and Hydrogeology
,
Princeton University Press
,
Princeton, NJ
.
33.
Biot
,
M. A.
, and
Willis
,
D. G.
,
1957
, “
The Elastic Coefficients of the Theory of Consolidation
,”
ASME J. Appl. Mech.
,
24
, pp.
594
601
.
34.
Hickey
,
C. J.
, and
Sabatier
,
J. M.
,
1997
, “
Choosing Biot Parameters for Modeling Water-Saturated Sand
,”
J. Acoust. Soc. Am.
,
102
(
3
), pp.
1480
1484
.
35.
Stoll
,
R. D.
,
1974
, “
Acoustic Waves in Saturated Sediments
,”
Physics of Sound in Marine Sediments. Marine Science
,
L.
Hampton
, ed.,
Springer
,
Boston, MA
.
36.
Morse
,
P. M.
, and
Feshbach
,
H.
,
1946
,
Methods of Theoretical Physics Part II
,
McGraw-Hill
,
New York
.
37.
Achenbach
,
J. D.
,
1973
,
Wave Propagation in Elastic Solids
,
North-Holland Publishing
,
Amsterdam, The Netherlands
.
38.
Zheng
,
P.
,
Zhao
,
S. X.
, and
Ding
,
D.
,
2013
, “
Dynamic Green's Function for a Poroelastic Half-Space
,”
Acta Mech.
,
224
(
1
), pp.
17
39
.
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