US 2026/0227309 A1 · PHYSICAL SIMULATION SYSTEM AND METHOD OF POROUS MEDIUM GROUTING WITH TEMPERATURE EFFECT CONSIDERATION

Abstract

A physical simulation system and method of porous medium grouting with temperature effect consideration, including: a porous medium formation simulation model, a grouting system, a water level regulation system, a formation temperature control system, and a data analysis system. The porous medium formation simulation model is configured to simulate a porous medium formation. The water level regulation system and the formation temperature control system are configured to simulate cases of different water containing levels and different water temperatures and ground temperatures. The data analysis system is configured to perform verification and analysis on a grouting diffusion path by comparing data collected by sensors such as temperature and pressure sensors at different time series with data such as temperature and pressure data which are obtained through coupled solutions of a heat transfer equation and a Momentum Equation.

A physical simulation system of porous medium grouting with temperature effect consideration, comprising:

a porous medium formation simulation model, a grouting system, a water level regulation system, a formation temperature control system, a data collection system, and a data analysis system, wherein:
the porous medium formation simulation model comprises an experiment box, and the experiment box is filled with a porous medium;
the grouting system is in pipeline communication with a grout inlet of the porous medium formation simulation model to provide a grouting manner with controllable grouting rate and grouting pressure for the porous medium formation simulation model;
the water level regulation system is in pipeline communication with the porous medium formation simulation model to provide a water injection manner with an adjustable water supply amount and a controllable water temperature for the porous medium formation simulation model;
the formation temperature control system comprises a heating device and a temperature monitoring sensor, the temperature monitoring sensor is arranged in the porous medium formation simulation model, and the heating device is configured to heat an interior of the porous medium formation simulation model to simulate different ground temperatures;
the data collection system comprises a plurality of temperature sensors and pressure sensors, and the temperature sensors and the pressure sensors are respectively distributed at different positions in the porous medium formation simulation model;
and
the data analysis system is in signal connection with the data collection system, and configured to perform verification and analysis on a grouting diffusion path by comparing data collected by the temperature sensor and the pressure sensor at different time series with temperature data and pressure data which are obtained through coupled solutions of a heat transfer equation and a Momentum Equation, specifically comprises:
constructing a fluid domain grid according to an experiment model, and setting initial boundary conditions, wherein the initial boundary conditions comprise a grouting speed, a grouting pressure, a grout temperature, and grout viscosity;
and constructing the Momentum Equation according to the grouting speed, the grouting pressure, a phase fraction, and the grout viscosity, and predicting the grouting speed by solving momentum;
wherein, the Momentum Equation is:
∂
(
ρ
⁢
v
)
∂
t
+
∇
·
(
ρ
⁢
vv
)
=
-
∇
p
+
∇
·
(
μ
⁢
∇
v
)
+
ρ
⁢
g
+
F
st
,
wherein, ρ is density, p is a pressure, μ represents a viscosity function dependent on time t and the grout temperature T, which are obtained through experiments, g is a gravitational acceleration, and Fst is a surface tension;
the grouting speed is obtained by solving a discrete Momentum Equation:
ρ
n
+
1
⁢
v
n
+
1
-
ρ
n
⁢
v
n
Δ
⁢
t
·
V
C
⁢
V
+
∑
faces
(
ρ
⁢
v
⁢
v
)
n
·
S
face
=
-
∑
faces
p
n
⁢
S
face
+
∑
faces
(
μ
⁢
∇
v
)
n
·
S
face
+
ρ
n
⁢
g
·
V
C
⁢
V
+
F
s
⁢
t
n
·
V
C
⁢
V
,
wherein, ρn+1vn+1 and ρnvn are a product of the density and the speed at a new time step and an old time step, respectively, VCV is a volume of a control volume, Sface is an area vector of a control volume face, pn is a pressure at a current time step, (μΛv)n is a viscous stress at the current time step, g is the gravitational acceleration,
F
s
⁢
t
n
and Δt is a time step size;
a grout-water continuity equation is:
(
∇
·
v
=
0
)
,
wherein, v is a fluid speed vector,
a discrete continuity equation is coupled to the Momentum Equation to iteratively solve for the grout pressure and the grouting speed, and after a predetermined iteration count is reached, the grouting pressure and grouting speed are obtained as a grouting pressure and grouting speed v for the current time step,
according to the grouting speed v at the current time step, a grout-water heat transfer equation is constructed:
ρ
⁢
c
p
⁢
∂
T
∂
t
+
ρ
⁢
c
p
⁢
v
·
∇
T
=
∇
·
(
k
⁢
∇
T
)
+
Q
,
Q
=
-
Δ
⁢
H
rxn
⁢
r
,
wherein, T is a temperature, cp is a specific heat capacity of a fluid, k is thermal conductivity of the porous medium, Q represents a quantity of heat generated and released in a phase change process in which grout is cured, ΔHrxn is an empirical value for heat released per mole of a reaction, r is an empirical value for a rate of a chemical reaction, and v is the fluid speed vector;
the grout temperature is obtained by solving a discrete prediction equation:
ρ
⁢
c
p
(
T
n
⁢
e
⁢
w
-
T
o
⁢
l
⁢
d
)
Δ
⁢
t
·
V
C
⁢
V
+
∑
faces
ρ
⁢
c
p
⁢
vT
·
S
face
=
∑
faces
k
⁢
∇
T
·
S
face
,
wherein, Tnew and Told are a temperature at the new time step and the old time step, respectively, Δt is the time step size, VCV is the volume of the control volume, Sface is the area vector of the control volume face, and a direction is perpendicular to the face and points to an outside;
a discrete heat transfer equation is coupled to the Momentum Equation to iteratively solve for the grout temperature the grouting speed, and after the predetermined iteration count is reached, the grout temperature and grouting speed v are obtained;
according to the grouting speed v at the current time step, a discrete grout-water two-phase phase fraction equation is constructed, a grout diffusion form in the porous medium is obtained by solving the phase fraction equation, and the grout-water two-phase phase fraction equation is:
(
∂
α
∂
t
+
∇
·
(
α
⁢
v
)
=
0
)
,
wherein, α represents a proportion of a volume occupied by a particular phase in a specified volume;
according to repeated iteration of the above equation, finally, visual presentation of a grout diffusion path is implemented by the phase fraction equation;
and
upon simulation, temperature field data and grouting pressure data at the current time step are compared with experiment-measured data, if the temperature field data, and grouting pressure and speed data are consistent with the experiment data, accurate simulation of the grout diffusion form and capture of the grout diffusion path in the porous medium are implemented.

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Physical simulation system and method of porous medium grouting with temperature effect consideration

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Physical simulation system and method of porous medium grouting with temperature effect consideration

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Abstract

Claims10