Sound Convergence Zones Formed by Reflection from the Sea
Boꢀom in an Incomplete Sound Channel*
†
Peng Zhang1,2, Zhenglin Li1, , Lixin Wu1, Renhe Zhang1, Jixing Qin1
1State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China.
2College of Electronic Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China.
ABSTRACT
1 INTRODUCTION
e seafloor has a significant influence on sound propagation in
deep water in the context of an incomplete sound channel. Using
data collected during an experiment in the South China Sea, we
study seafloor reflection effects on sound propagation in a range
dependent environment. e experiment phenomenon is
different from the convergence phenomenon in the deep sound
channel, also referred to as the SOFAR channel. We observe that
the spatial variation of bathymetry contributes to the formation
of the seafloor reflection convergence zone in advance, and the
sound intensity in some areas of the shadow zone is significantly
increased. Due to seafloor reflection, there are two seafloor
reflection convergence zone within 60 km of the propagation
track, in which the gains of the acoustic energy can exceed 10
dB. High sound intensity areas are also observed in the shadow
zone near 11 km and 51 km at some depths. In addition, the gain
of the second convergence zone is higher than that of the first
convergence zone when the receiving depth is the same as the
source depth. In the first convergence zone, as the receiving
depth increases, the arrival structure tends to become
complicated, and the multipath effect becomes more obvious.
Numerical analysis based on the parabolic equation and ray
theory is carried out to explain the physical mechanism of the
seafloor reflection convergence zone. e study result is
meaningful for the performance analysis of sonar in complex
deep-water environments.*
Convergence zones of the sound field are formed by
variations of the sound speed profile and water depth, which is
an important acoustic characteristic in deep water. Prior to the
twenty-first century, a series of sound propagation experiments
were conducted to elucidate the issues of convergence effect.
Hale [1] observed a strong convergence zone effect in a deep
water experiment in the early 1960s. Ray theory [2], wave theory
[3,4] and extended theories [5] were applied to study the
convergence zone over the next few decades. These theories
profoundly revealed the mechanisms of sound propagation and
could accurately predict the location of the convergence zone.
Discussions in these research papers focused on sound
propagation in typical SOFAR channels. In the far field of the
SOFAR channel, the influence of the sea floor can be ignored
because most rays are reflected by sea water before touching the
seafloor. But in an incomplete channel, the sound field is mainly
formed by sound waves reflected from the seabed. The
characteristics of seabed sediment therefore become important
factors affecting sound propagation.
Applying the theory of reversal point convergence zone,
Zhang Renhe [6] calculated the seafloor reflection coefficient of
the minimum glancing angle under the negative gradient profile
environment. However, the acoustic characteristics of the seabed
were not directly described in this paper. In addition, the
theoretical calculation does not match the experimental results
with regard to the location and gain of the convergence zone.
Wang Gang et al. [7] applied the WKBZ normal wave method to
study the seafloor reflection convergence zone under the deep
sea negative gradient depth profile. Fan Peiqin et al. [8]
simulated rapid distance prediction of the seafloor reflection
convergence zone by using environment statistical data and the
characteristic parameter calculation model. Many researchers
have looked at the effects of acoustic propagation in range-
dependent underwater environments, such as the reflection
blocking effect of the seamount [9], acoustic propagation lows
along uneven bottoms [10], and down-slope enhancement effects
[11].
KEYWORDS
convergence zone, boꢀom reflection, multipath structure
ACM Reference format:
Peng Zhang, Zhenglin Li, Lixin Wu, Renhe Zhang, and Jixing Qin. 2018.
Sound Convergence Zones Formed by Reflection from the Sea Boꢀom in
an Incomplete Sound Channel. In e 13th ACM International Conference
on Underwater Networks & Systems (WUWNet’18), December 3–5, 2018,
Shen zhen, China , (Eds.). ACM, New York, NY, USA, Article , 5 pages.
hꢀps://doi.org/10.1145/3291940.3291985
In this paper, sound propagation experiment data collected in
the South China Sea is used to analyze the characteristics of the
convergence zone formed by bottom reflection under the
incomplete channel environment with variation of bathymetry.
Numerical analysis based on the parabolic equation combined
with ray theory is carried out to calculate the arrival time of the
pulse arrival structure as well as the eigenrays and explain the
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without
fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this
notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM
must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to
redistribute to lists, requires prior specific permission and/or a fee. Request permissions from Permissions@acm.org.
WUWNet'18, December 3–5, 2018, Shenzhen, China
© 2018 Association for Computing Machinery.
ACM ISBN 978-1-4503-6193-4/18/12…$15.00