 
          862
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          ・
        
        
          Consider the influence of phase changing and energy flow
        
        
          rule target on solid, liquid and gas phase.
        
        
          ・
        
        
          The temperature of soil particle, pore water, methane gas,
        
        
          methane hydrate and ice is same in local area. It is assumed
        
        
          that heat conduction is performed promptly.
        
        
          ・
        
        
          Disregard the deformation of solid phase in equation of
        
        
          continuity for hydrate and law of the conservation of energy.
        
        
          4. SIMULATION MODELS
        
        
          
            4.1. Geological Model and Boundary Conditions
          
        
        
          A simulation was performed assuming MH production using the
        
        
          depressurization method employed in the eastern Nankai
        
        
          Trough region in Japan. The analysis was performed assuming
        
        
          an elasto-plastic axi-symmetry problem. Finite element mesh
        
        
          for model of seabed is shown on Figure 1 (a). The model,
        
        
          consists of 18054 elements and 18512 nodes, has an area of
        
        
          450m depth × 1000m diameter, and is located at 1000 m water
        
        
          depth. It is assumed that the layer 290m~340m from the ground
        
        
          surface as the MH-bearing layer with a MH saturation level
        
        
          which were investigated at the time of test boring in Nankai
        
        
          Trough. The conditions for each boundary are follows. (1) Top
        
        
          of the model are permeable for pore water and gas, and
        
        
          temperature fixed. (2) Periphery (Right side) of the model is
        
        
          permeable for water and gas, and temperature fixed. (3) Bottom
        
        
          of the model is permeable for water and gas, and temperature
        
        
          fixed. (4) Borehole (left side) is impermeable for water and gas
        
        
          exclude the depressurization area, and zero heat flux. The
        
        
          production well has three parts which are casing made with steel,
        
        
          cement and soil. Then, it has three set of interfaces that is shown
        
        
          in figure 3 (b). First interface (joint 1) is between casing and
        
        
          cement. Interface between cement and soil is second (joint 2).
        
        
          Third interface (joint 3) is between casing and soil. These
        
        
          interface are modeled by using joint element which proposed by
        
        
          Desai (1984). Methane hydrate reservoir was depressurized over
        
        
          24 hours from depressurization area where the pore pressure
        
        
          decreases from hydrostatic pressure to 3 MPa at bottom of the
        
        
          borehole. This area was made to open hole. Methane gas is
        
        
          produced by maintaining the pressure at the area of
        
        
          depressurization for the next 60 days.
        
        
          
            4.2. Material Parameter
          
        
        
          Simulation was performed having assumed seabed ground to be
        
        
          liner elastic and perfect plastic material. The material
        
        
          parameters were shown in Table 1 & Table 2. Parameters which
        
        
          have no core were determined from the research in the past.
        
        
          5. SIMULATION RESULTS
        
        
          Figure 3(a) shows the effect of production on the distribution of
        
        
          water pressure. The figure expands and shows the nearby area
        
        
          from depressurization source. It is seen that the reduction in the
        
        
          pressure is centered at the area of depressurization.
        
        
          Depressurization area was extended rapidly in first 10 days, and
        
        
          the tip of depressurized area attained 20m from production well.
        
        
          The depressurized area expand in horizontally more next 10
        
        
          days. The strata about 50m in radius was depressurized from the
        
        
          production well after 60 day. The layer for which
        
        
          depressurization was conspicuous is observed under methane
        
        
          hydrate reservoir. This layer has high permeability for
        
        
          horizontally, because the hydrate saturation compared low with
        
        
          upper reservoir. The hundreds of sand and mud layer have
        
        
          overlapped in hydrate reservoir which has various permeability,
        
        
          Table 1. Material parameters.
        
        
          unit
        
        
          MH-bearing layer Mud layer
        
        
          MPa
        
        
          E=700
        
        
          ・
        
        
          S
        
        
          h
        
        
          +100
        
        
          80
        
        
          -
        
        
          0.4
        
        
          0.4
        
        
          mD
        
        
          -
        
        
          -
        
        
          K
        
        
          -
        
        
          5.8×10
        
        
          -4
        
        
          5.8×10
        
        
          -4
        
        
          -
        
        
          5.3
        
        
          5.3
        
        
          -
        
        
          0.1
        
        
          0.1
        
        
          -
        
        
          0.1
        
        
          0.1
        
        
          soil
        
        
          kg/m
        
        
          3
        
        
          water
        
        
          kg/m
        
        
          3
        
        
          gas
        
        
          kg/m
        
        
          3
        
        
          MH kg/m
        
        
          3
        
        
          soil
        
        
          J/(kg
        
        
          ・
        
        
          K)
        
        
          water J/(kg
        
        
          ・
        
        
          K)
        
        
          gas J/(kg
        
        
          ・
        
        
          K)
        
        
          MH J/(kg
        
        
          ・
        
        
          K)
        
        
          soil J/(m
        
        
          ・
        
        
          s
        
        
          ・
        
        
          K)
        
        
          1.7
        
        
          2.915
        
        
          water J/(m
        
        
          ・
        
        
          s
        
        
          ・
        
        
          K)
        
        
          gas J/(m
        
        
          ・
        
        
          s
        
        
          ・
        
        
          K)
        
        
          MH J/(m
        
        
          ・
        
        
          s
        
        
          ・
        
        
          K)
        
        
          0.586
        
        
          0.03
        
        
          Thermal conductivity
        
        
          0.45
        
        
          0
        
        
          913
        
        
          1050
        
        
          4190
        
        
          2100
        
        
          2010
        
        
          Measured value of core
        
        
          Measured value of core
        
        
          Measured value of core
        
        
          Measured value of core
        
        
          2650
        
        
          1000
        
        
          Temperature
        
        
          α
        
        
          (Van Genuchten)
        
        
          n (Van Genuchten)
        
        
          Immovement water saturation
        
        
          Residual gas content
        
        
          Index
        
        
          Density
        
        
          Soil specific heat
        
        
          Elastic modulus
        
        
          Poisson's ratio
        
        
          Permiability
        
        
          Porosity
        
        
          MH saturation  S
        
        
          h
        
        
          Table 2. Interface strength
        
        
          Index
        
        
          Unit
        
        
          Joint 1
        
        
          Joint 2
        
        
          Joint 3
        
        
          Friction angle
        
        
          o
        
        
          45
        
        
          20
        
        
          20
        
        
          Cohesion
        
        
          MPa
        
        
          2
        
        
          0
        
        
          0
        
        
          Shear modulus
        
        
          MPa
        
        
          28
        
        
          28
        
        
          28
        
        
          Elastic modulus
        
        
          MPa
        
        
          80
        
        
          80
        
        
          80
        
        
          however, it turns out that it depressurize in general uniformly.
        
        
          The results are because of high pressure difference about 10
        
        
          MPa. Figure 3(b) shows the distribution of MH saturation ratios
        
        
          with the decomposition of MH. The region spreads by about
        
        
          20m wide from the production well at 10 day past. The area of
        
        
          methane hydrate dissociated was spread gradually followed by
        
        
          depressurization which was shown in Figure 3(a). It is observed
        
        
          that the area spread horizontally 30m in 20 days, and 50m in 60
        
        
          days. Dissociation of methane hydrate has not stopped yet after
        
        
          the 60 days in depressurized area. In addition, methane hydrate
        
        
          which exists 20m in radius from production well has not
        
        
          product completely, because it has self-preservation effect.
        
        
          Figure 3(c) shows the distribution of methane gas content.
        
        
          Signs that methane is generated could be confirmed as methane
        
        
          hydrate dissociate. The elements with a high gas content being
        
        
          restricted to the range of 10m from the production well, though
        
        
          the gas generated area was still spreading. Generated gases
        
        
          moved at high speed with water which generated by
        
        
          dissociation of methane hydrate too. It seems that the high gas
        
        
          content elements generated because the gases from the
        
        
          surroundings
        
        
          gathers for near production well. Figure 3(d)
        
        
          shows the distribution of vertical displacement. It was
        
        
          Figure 1. Finite element analytical model
        
        
          (18054 elements, 18512 nodes)
        
        
          Sea bottom
        
        
          (a) Geological modeling
        
        
          (b)Modeling for
        
        
          production well
        
        
          Casing
        
        
          Cement
        
        
          Joint1
        
        
          Joint2
        
        
          Joint3
        
        
          Point D
        
        
          Point C
        
        
          Point B
        
        
          Point A